264514068 has 108 divisors (see below), whose sum is σ = 827587488. Its totient is φ = 69750720.

The previous prime is 264514039. The next prime is 264514079. The reversal of 264514068 is 860415462.

264514068 is a `hidden beast` number, since 2 + 645 + 1 + 4 + 0 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39483 + ... + 45693.

Almost surely, 2^264514068 is an apocalyptic number.

264514068 is a gapful number since it is divisible by the number (28) 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 264514068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413793744).

264514068 is an abundant number, since it is smaller than the sum of its proper divisors (563073420).

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

264514068 is a wasteful number, since it uses less digits than its factorization.

264514068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 264514068 is about 16263.8884649397. Note that the first 3 decimals coincide. The cubic root of 264514068 is about 641.9229825798.

The spelling of 264514068 in words is "two hundred sixty-four million, five hundred fourteen thousand, sixty-eight".