97528320 has 320 divisors, whose sum is σ = 371226240. Its totient is φ = 24182784.

The previous prime is 97528313. The next prime is 97528339. The reversal of 97528320 is 2382579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 1174999 + ... + 1175081.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^97528320 is an apocalyptic number.

97528320 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 97528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

97528320 is an abundant number, since it is smaller than the sum of its proper divisors (273697920).

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

97528320 is a wasteful number, since it uses less digits than its factorization.

97528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97528320 is about 9875.6427638914. The cubic root of 97528320 is about 460.3027622473.

The spelling of 97528320 in words is "ninety-seven million, five hundred twenty-eight thousand, three hundred twenty".