1010813680 has 80 divisors (see below), whose sum is σ = 2496938400. Its totient is φ = 379468800.

The previous prime is 1010813677. The next prime is 1010813681. The reversal of 1010813680 is 863180101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010813681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162630 + ... + 168730.

It is an arithmetic number, because the mean of its divisors is an integer number (31211730).

Almost surely, 2^1010813680 is an apocalyptic number.

1010813680 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 1010813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248469200).

1010813680 is an abundant number, since it is smaller than the sum of its proper divisors (1486124720).

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

1010813680 is a wasteful number, since it uses less digits than its factorization.

1010813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1010813680 is about 31793.2961487166. The cubic root of 1010813680 is about 1003.5916446448.

Adding to 1010813680 its reverse (863180101), we get a palindrome (1873993781).

The spelling of 1010813680 in words is "one billion, ten million, eight hundred thirteen thousand, six hundred eighty".