820088688 has 40 divisors (see below), whose sum is σ = 2123399808. Its totient is φ = 272738752.

The previous prime is 820088677. The next prime is 820088719. The reversal of 820088688 is 886880028.

It is a super-2 number, since 2×820088688² = 1345090912371122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1981 + ... + 40547.

Almost surely, 2^820088688 is an apocalyptic number.

It is an amenable number.

820088688 is an abundant number, since it is smaller than the sum of its proper divisors (1303311120).

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

820088688 is a wasteful number, since it uses less digits than its factorization.

820088688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39021 (or 39015 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 820088688 is about 28637.1906443352. The cubic root of 820088688 is about 936.0239054454.

The spelling of 820088688 in words is "eight hundred twenty million, eighty-eight thousand, six hundred eighty-eight".