97752408 has 64 divisors (see below), whose sum is σ = 265359360. Its totient is φ = 29828736.

The previous prime is 97752401. The next prime is 97752427. The reversal of 97752408 is 80425779.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97752408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97752401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38391 + ... + 40857.

It is an arithmetic number, because the mean of its divisors is an integer number (4146240).

Almost surely, 2^97752408 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 97752408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132679680).

97752408 is an abundant number, since it is smaller than the sum of its proper divisors (167606952).

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

97752408 is a wasteful number, since it uses less digits than its factorization.

97752408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 97752408 is about 9886.9817436870. The cubic root of 97752408 is about 460.6550340311.

The spelling of 97752408 in words is "ninety-seven million, seven hundred fifty-two thousand, four hundred eight".