996415920 has 240 divisors, whose sum is σ = 3477625632. Its totient is φ = 255467520.

The previous prime is 996415873. The next prime is 996415963. The reversal of 996415920 is 29514699.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3010155 + ... + 3010485.

Almost surely, 2^996415920 is an apocalyptic number.

996415920 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 996415920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738812816).

996415920 is an abundant number, since it is smaller than the sum of its proper divisors (2481209712).

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

996415920 is a wasteful number, since it uses less digits than its factorization.

996415920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 996415920 is about 31566.0564530953. The cubic root of 996415920 is about 998.8038765257.

The spelling of 996415920 in words is "nine hundred ninety-six million, four hundred fifteen thousand, nine hundred twenty".