97585920 has 216 divisors, whose sum is σ = 347242896. Its totient is φ = 25288704.

The previous prime is 97585907. The next prime is 97585927. The reversal of 97585920 is 2958579.

It is a happy number.

97585920 is a `hidden beast` number, since 9 + 7 + 58 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97585927) 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, 495262 + ... + 495458.

It is an arithmetic number, because the mean of its divisors is an integer number (1607606).

Almost surely, 2^97585920 is an apocalyptic number.

97585920 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 97585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173621448).

97585920 is an abundant number, since it is smaller than the sum of its proper divisors (249656976).

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

97585920 is a wasteful number, since it uses less digits than its factorization.

97585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 97585920 is about 9878.5585993099. The cubic root of 97585920 is about 460.3933623288.

The spelling of 97585920 in words is "ninety-seven million, five hundred eighty-five thousand, nine hundred twenty".