264602640 has 80 divisors (see below), whose sum is σ = 822715200. Its totient is φ = 70350336.

The previous prime is 264602629. The next prime is 264602687. The reversal of 264602640 is 46206462.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 264602598 and 264602607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89506 + ... + 92414.

It is an arithmetic number, because the mean of its divisors is an integer number (10283940).

Almost surely, 2^264602640 is an apocalyptic number.

264602640 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 264602640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411357600).

264602640 is an abundant number, since it is smaller than the sum of its proper divisors (558112560).

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

264602640 is a wasteful number, since it uses less digits than its factorization.

264602640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3298 counting only the distinct ones).

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

The square root of 264602640 is about 16266.6112020912. The cubic root of 264602640 is about 641.9946234544.

The spelling of 264602640 in words is "two hundred sixty-four million, six hundred two thousand, six hundred forty".