97002360 has 480 divisors, whose sum is σ = 417130560. Its totient is φ = 20030976.

The previous prime is 97002359. The next prime is 97002371. The reversal of 97002360 is 6320079.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063857 + ... + 2063903.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 2^97002360 is an apocalyptic number.

97002360 is a gapful number since it is divisible by the number (90) 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 97002360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

97002360 is an abundant number, since it is smaller than the sum of its proper divisors (320128200).

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

97002360 is a wasteful number, since it uses less digits than its factorization.

97002360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 97002360 is about 9848.9776119149. The cubic root of 97002360 is about 459.4738154771.

The spelling of 97002360 in words is "ninety-seven million, two thousand, three hundred sixty".