97652880 has 120 divisors (see below), whose sum is σ = 353211768. Its totient is φ = 24035328.

The previous prime is 97652851. The next prime is 97652897. The reversal of 97652880 is 8825679.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 93779856 = 1968^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4144 + ... + 14576.

Almost surely, 2^97652880 is an apocalyptic number.

97652880 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 97652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176605884).

97652880 is an abundant number, since it is smaller than the sum of its proper divisors (255558888).

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

97652880 is a wasteful number, since it uses less digits than its factorization.

97652880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 97652880 is about 9881.9471765437. The cubic root of 97652880 is about 460.4986401230.

The spelling of 97652880 in words is "ninety-seven million, six hundred fifty-two thousand, eight hundred eighty".