264134640 has 160 divisors (see below), whose sum is σ = 1020934656. Its totient is φ = 54881280.

The previous prime is 264134623. The next prime is 264134641. The reversal of 264134640 is 46431462.

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 = 264134598 and 264134607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264134641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11334 + ... + 25626.

Almost surely, 2^264134640 is an apocalyptic number.

264134640 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 264134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510467328).

264134640 is an abundant number, since it is smaller than the sum of its proper divisors (756800016).

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

264134640 is a wasteful number, since it uses less digits than its factorization.

264134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14327 (or 14321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 264134640 is about 16252.2195407274. The cubic root of 264134640 is about 641.6159036321.

The spelling of 264134640 in words is "two hundred sixty-four million, one hundred thirty-four thousand, six hundred forty".