97018560 has 280 divisors, whose sum is σ = 365119920. Its totient is φ = 24385536.

The previous prime is 97018549. The next prime is 97018583. The reversal of 97018560 is 6581079.

97018560 is a `hidden beast` number, since 97 + 0 + 1 + 8 + 560 = 666.

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 39 ways as a sum of consecutive naturals, for example, 492382 + ... + 492578.

Almost surely, 2^97018560 is an apocalyptic number.

97018560 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 97018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182559960).

97018560 is an abundant number, since it is smaller than the sum of its proper divisors (268101360).

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

97018560 is a wasteful number, since it uses less digits than its factorization.

97018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 97018560 is about 9849.7999979695. The cubic root of 97018560 is about 459.4993923857.

The spelling of 97018560 in words is "ninety-seven million, eighteen thousand, five hundred sixty".