915921900 has 216 divisors, whose sum is σ = 2989808640. Its totient is φ = 234357120.

The previous prime is 915921889. The next prime is 915921901. The reversal of 915921900 is 9129519.

It is a super-2 number, since 2×915921900² = 1677825853799220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (915921901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2495517 + ... + 2495883.

Almost surely, 2^915921900 is an apocalyptic number.

915921900 is a gapful number since it is divisible by the number (90) 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 915921900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494904320).

915921900 is an abundant number, since it is smaller than the sum of its proper divisors (2073886740).

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

915921900 is a wasteful number, since it uses less digits than its factorization.

915921900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 915921900 is about 30264.2016250223. The cubic root of 915921900 is about 971.1496271303.

The spelling of 915921900 in words is "nine hundred fifteen million, nine hundred twenty-one thousand, nine hundred".