264766140 has 72 divisors (see below), whose sum is σ = 845404560. Its totient is φ = 66887424.

The previous prime is 264766129. The next prime is 264766141. The reversal of 264766140 is 41667462.

264766140 is a `hidden beast` number, since 2 + 647 + 6 + 6 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×264766140² = 140202217780999200, which contains 22 as substring.

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 = 264766095 and 264766104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264766141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35289 + ... + 42128.

It is an arithmetic number, because the mean of its divisors is an integer number (11741730).

Almost surely, 2^264766140 is an apocalyptic number.

264766140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264766140 is an abundant number, since it is smaller than the sum of its proper divisors (580638420).

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

264766140 is a wasteful number, since it uses less digits than its factorization.

264766140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77451 (or 77446 counting only the distinct ones).

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

The square root of 264766140 is about 16271.6360578769. The cubic root of 264766140 is about 642.1268273615.

The spelling of 264766140 in words is "two hundred sixty-four million, seven hundred sixty-six thousand, one hundred forty".