130633440 has 192 divisors, whose sum is σ = 498161664. Its totient is φ = 28090368.

The previous prime is 130633439. The next prime is 130633463. The reversal of 130633440 is 44336031.

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 130633440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55977 + ... + 58263.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 2^130633440 is an apocalyptic number.

130633440 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 130633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832).

130633440 is an abundant number, since it is smaller than the sum of its proper divisors (367528224).

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

130633440 is a wasteful number, since it uses less digits than its factorization.

130633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 130633440 is about 11429.4986766699. The cubic root of 130633440 is about 507.4011584870.

Adding to 130633440 its reverse (44336031), we get a palindrome (174969471).

The spelling of 130633440 in words is "one hundred thirty million, six hundred thirty-three thousand, four hundred forty".