12623520 has 288 divisors, whose sum is σ = 51988608. Its totient is φ = 2506752.

The previous prime is 12623519. The next prime is 12623521. The reversal of 12623520 is 2532621.

It is an interprime number because it is at equal distance from previous prime (12623519) and next prime (12623521).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12623521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742552 + ... + 742568.

It is an arithmetic number, because the mean of its divisors is an integer number (180516).

Almost surely, 2^12623520 is an apocalyptic number.

12623520 is a gapful number since it is divisible by the number (10) 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 12623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994304).

12623520 is an abundant number, since it is smaller than the sum of its proper divisors (39365088).

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

12623520 is a wasteful number, since it uses less digits than its factorization.

12623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12623520 is about 3552.9593299108. The cubic root of 12623520 is about 232.8413761910.

Subtracting from 12623520 its product of nonzero digits (720), we obtain a triangular number (12622800 = T₅₀₂₄).

The spelling of 12623520 in words is "twelve million, six hundred twenty-three thousand, five hundred twenty".