820151264 has 48 divisors (see below), whose sum is σ = 1799658000. Its totient is φ = 365635584.

The previous prime is 820151251. The next prime is 820151323. The reversal of 820151264 is 462151028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29339 + ... + 50010.

It is an arithmetic number, because the mean of its divisors is an integer number (37492875).

Almost surely, 2^820151264 is an apocalyptic number.

It is an amenable number.

820151264 is an abundant number, since it is smaller than the sum of its proper divisors (979506736).

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

820151264 is a wasteful number, since it uses less digits than its factorization.

820151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79395 (or 79387 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 820151264 is about 28638.2831887667. The cubic root of 820151264 is about 936.0477122779.

The spelling of 820151264 in words is "eight hundred twenty million, one hundred fifty-one thousand, two hundred sixty-four".