825579664 has 160 divisors (see below), whose sum is σ = 2084866560. Its totient is φ = 307777536.

The previous prime is 825579637. The next prime is 825579679. The reversal of 825579664 is 466975528.

It is a super-2 number, since 2×825579664² = 1363163563220705792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2980294 + ... + 2980570.

It is an arithmetic number, because the mean of its divisors is an integer number (13030416).

Almost surely, 2^825579664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825579664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042433280).

825579664 is an abundant number, since it is smaller than the sum of its proper divisors (1259286896).

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

825579664 is a wasteful number, since it uses less digits than its factorization.

825579664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The square root of 825579664 is about 28732.9021158671. The cubic root of 825579664 is about 938.1083369973.

The spelling of 825579664 in words is "eight hundred twenty-five million, five hundred seventy-nine thousand, six hundred sixty-four".