123056064 has 224 divisors, whose sum is σ = 395020800. Its totient is φ = 37416960.

The previous prime is 123056053. The next prime is 123056119. The reversal of 123056064 is 460650321.

123056064 is a `hidden beast` number, since 12 + 30 + 560 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1733149 + ... + 1733219.

Almost surely, 2^123056064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

123056064 is an abundant number, since it is smaller than the sum of its proper divisors (271964736).

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

123056064 is a wasteful number, since it uses less digits than its factorization.

123056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 123056064 is about 11093.0637787764. The cubic root of 123056064 is about 497.3945319891.

The spelling of 123056064 in words is "one hundred twenty-three million, fifty-six thousand, sixty-four".