264542640 has 160 divisors (see below), whose sum is σ = 857088000. Its totient is φ = 67415040.

The previous prime is 264542633. The next prime is 264542653. The reversal of 264542640 is 46245462.

264542640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329261 + ... + 1329459.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^264542640 is an apocalyptic number.

264542640 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 264542640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544000).

264542640 is an abundant number, since it is smaller than the sum of its proper divisors (592545360).

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

264542640 is a wasteful number, since it uses less digits than its factorization.

264542640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 264542640 is about 16264.7668289465. The cubic root of 264542640 is about 641.9460945996.

The spelling of 264542640 in words is "two hundred sixty-four million, five hundred forty-two thousand, six hundred forty".