97866720 has 432 divisors, whose sum is σ = 414545040. Its totient is φ = 20901888.

The previous prime is 97866683. The next prime is 97866731. The reversal of 97866720 is 2766879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340604 + ... + 1340676.

It is an arithmetic number, because the mean of its divisors is an integer number (959595).

Almost surely, 2^97866720 is an apocalyptic number.

97866720 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 97866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207272520).

97866720 is an abundant number, since it is smaller than the sum of its proper divisors (316678320).

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

97866720 is a wasteful number, since it uses less digits than its factorization.

97866720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 97866720 is about 9892.7609897339. The cubic root of 97866720 is about 460.8345279394.

The spelling of 97866720 in words is "ninety-seven million, eight hundred sixty-six thousand, seven hundred twenty".