917988120 has 256 divisors, whose sum is σ = 3610828800. Its totient is φ = 203005440.

The previous prime is 917988119. The next prime is 917988163. The reversal of 917988120 is 21889719.

It is a super-2 number, since 2×917988120² = 1685404376922268800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232402 + ... + 236318.

It is an arithmetic number, because the mean of its divisors is an integer number (14104800).

Almost surely, 2^917988120 is an apocalyptic number.

917988120 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 917988120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805414400).

917988120 is an abundant number, since it is smaller than the sum of its proper divisors (2692840680).

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

917988120 is a wasteful number, since it uses less digits than its factorization.

917988120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 917988120 is about 30298.3187652384. The cubic root of 917988120 is about 971.8793479264.

The spelling of 917988120 in words is "nine hundred seventeen million, nine hundred eighty-eight thousand, one hundred twenty".