23478624 has 72 divisors (see below), whose sum is σ = 71914752. Its totient is φ = 7223040.

The previous prime is 23478613. The next prime is 23478641. The reversal of 23478624 is 42687432.

23478624 is a `hidden beast` number, since 23 + 4 + 7 + 8 + 624 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609 + ... + 6879.

It is an arithmetic number, because the mean of its divisors is an integer number (998816).

Almost surely, 2^23478624 is an apocalyptic number.

23478624 is a gapful number since it is divisible by the number (24) 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 23478624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35957376).

23478624 is an abundant number, since it is smaller than the sum of its proper divisors (48436128).

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

23478624 is a wasteful number, since it uses less digits than its factorization.

23478624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6289 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 23478624 is about 4845.4745897590. The cubic root of 23478624 is about 286.3458414284.

The spelling of 23478624 in words is "twenty-three million, four hundred seventy-eight thousand, six hundred twenty-four".