97526880 has 288 divisors, whose sum is σ = 373621248. Its totient is φ = 22963200.

The previous prime is 97526873. The next prime is 97526903. The reversal of 97526880 is 8862579.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×97526880² = 19022984645068800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 744415 + ... + 744545.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^97526880 is an apocalyptic number.

97526880 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 97526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

97526880 is an abundant number, since it is smaller than the sum of its proper divisors (276094368).

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

97526880 is a wasteful number, since it uses less digits than its factorization.

97526880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

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

The square root of 97526880 is about 9875.5698569753. The cubic root of 97526880 is about 460.3004967883.

The spelling of 97526880 in words is "ninety-seven million, five hundred twenty-six thousand, eight hundred eighty".