97613640 has 256 divisors, whose sum is σ = 352512000. Its totient is φ = 23950080.

The previous prime is 97613617. The next prime is 97613641. The reversal of 97613640 is 4631679.

97613640 is a `hidden beast` number, since 9 + 7 + 6 + 1 + 3 + 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 = 97613595 and 97613604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97613641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1374805 + ... + 1374875.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^97613640 is an apocalyptic number.

97613640 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 97613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

97613640 is an abundant number, since it is smaller than the sum of its proper divisors (254898360).

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

97613640 is a wasteful number, since it uses less digits than its factorization.

97613640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

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

The square root of 97613640 is about 9879.9615383867. The cubic root of 97613640 is about 460.4369509114.

The spelling of 97613640 in words is "ninety-seven million, six hundred thirteen thousand, six hundred forty".