820124072 has 16 divisors (see below), whose sum is σ = 1563796800. Its totient is φ = 403111600.

The previous prime is 820124069. The next prime is 820124099. The reversal of 820124072 is 270421028.

It is a super-2 number, since 2×820124072² = 1345206986947722368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 868304 + ... + 869247.

It is an arithmetic number, because the mean of its divisors is an integer number (97737300).

Almost surely, 2^820124072 is an apocalyptic number.

It is an amenable number.

820124072 is a deficient number, since it is larger than the sum of its proper divisors (743672728).

820124072 is a wasteful number, since it uses less digits than its factorization.

820124072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737616 (or 1737612 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 820124072 is about 28637.8084357026. The cubic root of 820124072 is about 936.0373673201.

The spelling of 820124072 in words is "eight hundred twenty million, one hundred twenty-four thousand, seventy-two".