123677856 has 72 divisors (see below), whose sum is σ = 372412404. Its totient is φ = 38799360.

The previous prime is 123677809. The next prime is 123677857. The reversal of 123677856 is 658776321.

It can be written as a sum of positive squares in 2 ways, for example, as 123210000 + 467856 = 11100^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (123677857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7735 + ... + 17526.

Almost surely, 2^123677856 is an apocalyptic number.

123677856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123677856 is an abundant number, since it is smaller than the sum of its proper divisors (248734548).

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

123677856 is a wasteful number, since it uses less digits than its factorization.

123677856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25294 (or 25283 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 123677856 is about 11121.0546262484. The cubic root of 123677856 is about 498.2308892099.

The spelling of 123677856 in words is "one hundred twenty-three million, six hundred seventy-seven thousand, eight hundred fifty-six".