97152384 has 128 divisors (see below), whose sum is σ = 301593600. Its totient is φ = 27131904.

The previous prime is 97152371. The next prime is 97152421. The reversal of 97152384 is 48325179.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (60480) is a multiple of the sum of its prime factors (840).

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, 125952 + ... + 126720.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 2^97152384 is an apocalyptic number.

97152384 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

97152384 is an abundant number, since it is smaller than the sum of its proper divisors (204441216).

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

97152384 is a wasteful number, since it uses less digits than its factorization.

97152384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 97152384 is about 9856.5908913782. The cubic root of 97152384 is about 459.7105677698.

The spelling of 97152384 in words is "ninety-seven million, one hundred fifty-two thousand, three hundred eighty-four".