997951680 has 504 divisors, whose sum is σ = 4014307440. Its totient is φ = 225607680.

The previous prime is 997951639. The next prime is 997951693. The reversal of 997951680 is 86159799.

997951680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×997951680² = 1991815111229644800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9155466 + ... + 9155574.

Almost surely, 2^997951680 is an apocalyptic number.

997951680 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 997951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007153720).

997951680 is an abundant number, since it is smaller than the sum of its proper divisors (3016355760).

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

997951680 is a wasteful number, since it uses less digits than its factorization.

997951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 997951680 is about 31590.3732171685. The cubic root of 997951680 is about 999.3167599560.

It can be divided in two parts, 99795 and 1680, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 997951680 in words is "nine hundred ninety-seven million, nine hundred fifty-one thousand, six hundred eighty".