97136640 has 312 divisors, whose sum is σ = 368005248. Its totient is φ = 23592960.

The previous prime is 97136621. The next prime is 97136687. The reversal of 97136640 is 4663179.

97136640 is a `hidden beast` number, since 9 + 7 + 1 + 3 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97136595 and 97136604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133425 + ... + 3133455.

It is an arithmetic number, because the mean of its divisors is an integer number (1179504).

Almost surely, 2^97136640 is an apocalyptic number.

97136640 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 97136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184002624).

97136640 is an abundant number, since it is smaller than the sum of its proper divisors (270868608).

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

97136640 is a wasteful number, since it uses less digits than its factorization.

97136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97136640 is about 9855.7922056017. The cubic root of 97136640 is about 459.6857336762.

The spelling of 97136640 in words is "ninety-seven million, one hundred thirty-six thousand, six hundred forty".