97633480 has 96 divisors (see below), whose sum is σ = 258449400. Its totient is φ = 33094656.

The previous prime is 97633427. The next prime is 97633511. The reversal of 97633480 is 8433679.

It can be written as a sum of positive squares in 4 ways, for example, as 95218564 + 2414916 = 9758^2 + 1554^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 213412 + ... + 213868.

Almost surely, 2^97633480 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 97633480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129224700).

97633480 is an abundant number, since it is smaller than the sum of its proper divisors (160815920).

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

97633480 is a wasteful number, since it uses less digits than its factorization.

97633480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 97633480 is about 9880.9655398650. The cubic root of 97633480 is about 460.4681434451.

The spelling of 97633480 in words is "ninety-seven million, six hundred thirty-three thousand, four hundred eighty".