264007620 has 96 divisors (see below), whose sum is σ = 869702400. Its totient is φ = 66258432.

The previous prime is 264007613. The next prime is 264007621. The reversal of 264007620 is 26700462.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (264007621) 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, 5200 + ... + 23559.

It is an arithmetic number, because the mean of its divisors is an integer number (9059400).

Almost surely, 2^264007620 is an apocalyptic number.

264007620 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 264007620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434851200).

264007620 is an abundant number, since it is smaller than the sum of its proper divisors (605694780).

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

264007620 is a wasteful number, since it uses less digits than its factorization.

264007620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28794 (or 28786 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 264007620 is about 16248.3112968702. The cubic root of 264007620 is about 641.5130380134.

The spelling of 264007620 in words is "two hundred sixty-four million, seven thousand, six hundred twenty".