264176640 has 660 divisors, whose sum is σ = 1185925356. Its totient is φ = 55738368.

The previous prime is 264176639. The next prime is 264176669. The reversal of 264176640 is 46671462.

264176640 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 7 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 199148544 = 8064^2 + 14112^2 .

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 = 264176595 and 264176604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321274 + ... + 20321286.

Almost surely, 2^264176640 is an apocalyptic number.

264176640 is a gapful number since it is divisible by the number (20) 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 264176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592962678).

264176640 is an abundant number, since it is smaller than the sum of its proper divisors (921748716).

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

264176640 is a wasteful number, since it uses less digits than its factorization.

264176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

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

The square root of 264176640 is about 16253.5116205699. The cubic root of 264176640 is about 641.6499095716.

264176640 divided by its product of nonzero digits (48384) gives a triangular number (5460 = T₁₀₄).

The spelling of 264176640 in words is "two hundred sixty-four million, one hundred seventy-six thousand, six hundred forty".