97264440 has 192 divisors, whose sum is σ = 389188800. Its totient is φ = 20514816.

The previous prime is 97264421. The next prime is 97264441. The reversal of 97264440 is 4446279.

97264440 is a `hidden beast` number, since 9 + 7 + 2 + 644 + 4 + 0 = 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 = 97264395 and 97264404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97264441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31276 + ... + 34244.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2^97264440 is an apocalyptic number.

97264440 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 97264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

97264440 is an abundant number, since it is smaller than the sum of its proper divisors (291924360).

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

97264440 is a wasteful number, since it uses less digits than its factorization.

97264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 97264440 is about 9862.2735715453. The cubic root of 97264440 is about 459.8872439449.

The spelling of 97264440 in words is "ninety-seven million, two hundred sixty-four thousand, four hundred forty".