97046560 has 144 divisors (see below), whose sum is σ = 257603976. Its totient is φ = 34504704.

The previous prime is 97046533. The next prime is 97046561. The reversal of 97046560 is 6564079.

It can be written as a sum of positive squares in 12 ways, for example, as 1710864 + 95335696 = 1308^2 + 9764^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (97046561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000432 + ... + 1000528.

Almost surely, 2^97046560 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 97046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128801988).

97046560 is an abundant number, since it is smaller than the sum of its proper divisors (160557416).

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

97046560 is a wasteful number, since it uses less digits than its factorization.

97046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 97046560 is about 9851.2212440895. The cubic root of 97046560 is about 459.5435926757.

The spelling of 97046560 in words is "ninety-seven million, forty-six thousand, five hundred sixty".