997980672 has 320 divisors, whose sum is σ = 3118300416. Its totient is φ = 281149440.

The previous prime is 997980623. The next prime is 997980677. The reversal of 997980672 is 276089799.

It is not an unprimeable number, because it can be changed into a prime (997980677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18829798 + ... + 18829850.

Almost surely, 2^997980672 is an apocalyptic number.

997980672 is a gapful number since it is divisible by the number (92) 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 997980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559150208).

997980672 is an abundant number, since it is smaller than the sum of its proper divisors (2120319744).

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

997980672 is a wasteful number, since it uses less digits than its factorization.

997980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The square root of 997980672 is about 31590.8320878067. The cubic root of 997980672 is about 999.3264370815.

The spelling of 997980672 in words is "nine hundred ninety-seven million, nine hundred eighty thousand, six hundred seventy-two".