97902720 has 192 divisors, whose sum is σ = 353246400. Its totient is φ = 24938496.

The previous prime is 97902691. The next prime is 97902757. The reversal of 97902720 is 2720979.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132111 + ... + 132849.

It is an arithmetic number, because the mean of its divisors is an integer number (1839825).

Almost surely, 2^97902720 is an apocalyptic number.

97902720 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 97902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176623200).

97902720 is an abundant number, since it is smaller than the sum of its proper divisors (255343680).

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

97902720 is a wasteful number, since it uses less digits than its factorization.

97902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 97902720 is about 9894.5803347085. The cubic root of 97902720 is about 460.8910265776.

The spelling of 97902720 in words is "ninety-seven million, nine hundred two thousand, seven hundred twenty".