97880832 has 324 divisors, whose sum is σ = 357679560. Its totient is φ = 26320896.

The previous prime is 97880831. The next prime is 97880851. The reversal of 97880832 is 23808879.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (97880831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5757688 + ... + 5757704.

Almost surely, 2^97880832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178839780).

97880832 is an abundant number, since it is smaller than the sum of its proper divisors (259798728).

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

97880832 is a wasteful number, since it uses less digits than its factorization.

97880832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 97880832 is about 9893.4742128334. The cubic root of 97880832 is about 460.8566770564.

It can be divided in two parts, 978 and 80832, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 97880832 in words is "ninety-seven million, eight hundred eighty thousand, eight hundred thirty-two".