97052560 has 80 divisors (see below), whose sum is σ = 254715840. Its totient is φ = 34065920.

The previous prime is 97052539. The next prime is 97052561. The reversal of 97052560 is 6525079.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (97052561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23619 + ... + 27421.

It is an arithmetic number, because the mean of its divisors is an integer number (3183948).

Almost surely, 2^97052560 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 97052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127357920).

97052560 is an abundant number, since it is smaller than the sum of its proper divisors (157663280).

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

97052560 is a wasteful number, since it uses less digits than its factorization.

97052560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 97052560 is about 9851.5257701536. The cubic root of 97052560 is about 459.5530630603.

The spelling of 97052560 in words is "ninety-seven million, fifty-two thousand, five hundred sixty".