97530240 has 128 divisors (see below), whose sum is σ = 315302400. Its totient is φ = 25638912.

The previous prime is 97530233. The next prime is 97530253. The reversal of 97530240 is 4203579.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 97530198 and 97530207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151359 + ... + 152001.

It is an arithmetic number, because the mean of its divisors is an integer number (2463300).

Almost surely, 2^97530240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157651200).

97530240 is an abundant number, since it is smaller than the sum of its proper divisors (217772160).

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

97530240 is a wasteful number, since it uses less digits than its factorization.

97530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 97530240 is about 9875.7399722755. The cubic root of 97530240 is about 460.3057828246.

The spelling of 97530240 in words is "ninety-seven million, five hundred thirty thousand, two hundred forty".