97090560 has 396 divisors, whose sum is σ = 400442328. Its totient is φ = 21676032.

The previous prime is 97090537. The next prime is 97090561. The reversal of 97090560 is 6509079.

97090560 is a `hidden beast` number, since 9 + 7 + 0 + 90 + 560 = 666.

It is a super-2 number, since 2×97090560² = 18853153682227200, 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 not an unprimeable number, because it can be changed into a prime (97090561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257899 + ... + 2257941.

It is an arithmetic number, because the mean of its divisors is an integer number (1011218).

Almost surely, 2^97090560 is an apocalyptic number.

97090560 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 97090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200221164).

97090560 is an abundant number, since it is smaller than the sum of its proper divisors (303351768).

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

97090560 is a wasteful number, since it uses less digits than its factorization.

97090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 97090560 is about 9853.4542166694. The cubic root of 97090560 is about 459.6130331003.

The spelling of 97090560 in words is "ninety-seven million, ninety thousand, five hundred sixty".