97858560 has 176 divisors, whose sum is σ = 327782016. Its totient is φ = 24870912.

The previous prime is 97858543. The next prime is 97858561. The reversal of 97858560 is 6585879.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97858561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353142 + ... + 353418.

Almost surely, 2^97858560 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 97858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163891008).

97858560 is an abundant number, since it is smaller than the sum of its proper divisors (229923456).

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

97858560 is a wasteful number, since it uses less digits than its factorization.

97858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 97858560 is about 9892.3485583556. The cubic root of 97858560 is about 460.8217196552.

The spelling of 97858560 in words is "ninety-seven million, eight hundred fifty-eight thousand, five hundred sixty".