97526520 has 288 divisors, whose sum is σ = 393962400. Its totient is φ = 20487168.

The previous prime is 97526503. The next prime is 97526531. The reversal of 97526520 is 2562579.

It is a super-2 number, since 2×97526520² = 19022844206620800, which contains 22 as substring.

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

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, 425766 + ... + 425994.

It is an arithmetic number, because the mean of its divisors is an integer number (1367925).

Almost surely, 2^97526520 is an apocalyptic number.

97526520 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 97526520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196981200).

97526520 is an abundant number, since it is smaller than the sum of its proper divisors (296435880).

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

97526520 is a wasteful number, since it uses less digits than its factorization.

97526520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 97526520 is about 9875.5516301622. The cubic root of 97526520 is about 460.2999304200.

It can be divided in two parts, 975 and 26520, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 97526520 in words is "ninety-seven million, five hundred twenty-six thousand, five hundred twenty".