130820640 has 96 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 34750464.

The previous prime is 130820629. The next prime is 130820647. The reversal of 130820640 is 46028031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×130820640² = 34228079700019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130820640.

It is not an unprimeable number, because it can be changed into a prime (130820647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215217 + ... + 215823.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^130820640 is an apocalyptic number.

130820640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

130820640 is an abundant number, since it is smaller than the sum of its proper divisors (282862560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130820640 is a wasteful number, since it uses less digits than its factorization.

130820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 130820640 is about 11437.6850804697. The cubic root of 130820640 is about 507.6434143774.

Adding to 130820640 its reverse (46028031), we get a palindrome (176848671).

The spelling of 130820640 in words is "one hundred thirty million, eight hundred twenty thousand, six hundred forty".