264135780 has 72 divisors (see below), whose sum is σ = 803674872. Its totient is φ = 70219776.

The previous prime is 264135769. The next prime is 264135787. The reversal of 264135780 is 87531462.

264135780 is a `hidden beast` number, since 2 + 641 + 3 + 5 + 7 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 247684644 = 4056^2 + 15738^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264135787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61462 + ... + 65618.

It is an arithmetic number, because the mean of its divisors is an integer number (11162151).

Almost surely, 2^264135780 is an apocalyptic number.

264135780 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 264135780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401837436).

264135780 is an abundant number, since it is smaller than the sum of its proper divisors (539539092).

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

264135780 is a wasteful number, since it uses less digits than its factorization.

264135780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 264135780 is about 16252.2546128222. The cubic root of 264135780 is about 641.6168266980.

The spelling of 264135780 in words is "two hundred sixty-four million, one hundred thirty-five thousand, seven hundred eighty".