264135540 has 24 divisors (see below), whose sum is σ = 739579680. Its totient is φ = 70436128.

The previous prime is 264135539. The next prime is 264135577. The reversal of 264135540 is 45531462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264135498 and 264135507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2201070 + ... + 2201189.

It is an arithmetic number, because the mean of its divisors is an integer number (30815820).

Almost surely, 2^264135540 is an apocalyptic number.

264135540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264135540 is an abundant number, since it is smaller than the sum of its proper divisors (475444140).

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

264135540 is a wasteful number, since it uses less digits than its factorization.

264135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402271 (or 4402269 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 264135540 is about 16252.2472292296. The cubic root of 264135540 is about 641.6166323686.

The spelling of 264135540 in words is "two hundred sixty-four million, one hundred thirty-five thousand, five hundred forty".