123536820 has 48 divisors (see below), whose sum is σ = 377350848. Its totient is φ = 29948160.

The previous prime is 123536801. The next prime is 123536899. The reversal of 123536820 is 28635321.

It is a super-2 number, since 2×123536820² = 30522691791424800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92929 + ... + 94248.

It is an arithmetic number, because the mean of its divisors is an integer number (7861476).

Almost surely, 2^123536820 is an apocalyptic number.

123536820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123536820 is an abundant number, since it is smaller than the sum of its proper divisors (253814028).

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

123536820 is a wasteful number, since it uses less digits than its factorization.

123536820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187200 (or 187198 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 123536820 is about 11114.7118721090. The cubic root of 123536820 is about 498.0414313686.

The spelling of 123536820 in words is "one hundred twenty-three million, five hundred thirty-six thousand, eight hundred twenty".