123533856 has 48 divisors (see below), whose sum is σ = 360309600. Its totient is φ = 41177664.

The previous prime is 123533843. The next prime is 123533857. The reversal of 123533856 is 658335321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×123533856² = 30521227156457472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123533856.

It is not an unprimeable number, because it can be changed into a prime (123533857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70626 + ... + 72353.

It is an arithmetic number, because the mean of its divisors is an integer number (7506450).

Almost surely, 2^123533856 is an apocalyptic number.

123533856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123533856 is an abundant number, since it is smaller than the sum of its proper divisors (236775744).

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

123533856 is a wasteful number, since it uses less digits than its factorization.

123533856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142998 (or 142984 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 123533856 is about 11114.5785345194. The cubic root of 123533856 is about 498.0374481928.

The spelling of 123533856 in words is "one hundred twenty-three million, five hundred thirty-three thousand, eight hundred fifty-six".