97688544 has 96 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 30835200.

The previous prime is 97688537. The next prime is 97688551. The reversal of 97688544 is 44588679.

It is an interprime number because it is at equal distance from previous prime (97688537) and next prime (97688551).

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (1935360) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333262 + ... + 333554.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2^97688544 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 97688544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

97688544 is an abundant number, since it is smaller than the sum of its proper divisors (172584480).

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

97688544 is a wasteful number, since it uses less digits than its factorization.

97688544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 97688544 is about 9883.7515144807. The cubic root of 97688544 is about 460.5546931706.

The spelling of 97688544 in words is "ninety-seven million, six hundred eighty-eight thousand, five hundred forty-four".