123084864 has 210 divisors, whose sum is σ = 416200590. Its totient is φ = 34771968.

The previous prime is 123084833. The next prime is 123084881. The reversal of 123084864 is 468480321.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 34574400 = 9408^2 + 5880^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1382932 + ... + 1383020.

Almost surely, 2^123084864 is an apocalyptic number.

123084864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208100295).

123084864 is an abundant number, since it is smaller than the sum of its proper divisors (293115726).

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

123084864 is an frugal number, since it uses more digits than its factorization.

123084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 123084864 is about 11094.3618112986. The cubic root of 123084864 is about 497.4333323122.

The spelling of 123084864 in words is "one hundred twenty-three million, eighty-four thousand, eight hundred sixty-four".