97248000 has 144 divisors (see below), whose sum is σ = 323328096. Its totient is φ = 25907200.

The previous prime is 97247993. The next prime is 97248031. The reversal of 97248000 is 84279.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 95494 + ... + 96506.

It is an arithmetic number, because the mean of its divisors is an integer number (2245334).

Almost surely, 2^97248000 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 97248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161664048).

97248000 is an abundant number, since it is smaller than the sum of its proper divisors (226080096).

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

97248000 is a wasteful number, since it uses less digits than its factorization.

97248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 97248000 is about 9861.4400571113. The cubic root of 97248000 is about 459.8613318633.

It can be divided in two parts, 972 and 48000, that multiplied together give a cube (46656000 = 360³).

The spelling of 97248000 in words is "ninety-seven million, two hundred forty-eight thousand".