97981632 has 168 divisors, whose sum is σ = 338124800. Its totient is φ = 26500608.

The previous prime is 97981621. The next prime is 97981657. The reversal of 97981632 is 23618979.

97981632 is a `hidden beast` number, since 9 + 7 + 9 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75969 + ... + 77247.

Almost surely, 2^97981632 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 97981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169062400).

97981632 is an abundant number, since it is smaller than the sum of its proper divisors (240143168).

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

97981632 is a wasteful number, since it uses less digits than its factorization.

97981632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1310 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 97981632 is about 9898.5671690402. The cubic root of 97981632 is about 461.0148231565.

The spelling of 97981632 in words is "ninety-seven million, nine hundred eighty-one thousand, six hundred thirty-two".