23629140 has 72 divisors (see below), whose sum is σ = 72098208. Its totient is φ = 6264000.

The previous prime is 23629139. The next prime is 23629163. The reversal of 23629140 is 4192632.

23629140 is a `hidden beast` number, since 23 + 629 + 14 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44919 + ... + 45441.

It is an arithmetic number, because the mean of its divisors is an integer number (1001364).

Almost surely, 2^23629140 is an apocalyptic number.

23629140 is a gapful number since it is divisible by the number (20) 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 23629140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049104).

23629140 is an abundant number, since it is smaller than the sum of its proper divisors (48469068).

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

23629140 is a wasteful number, since it uses less digits than its factorization.

23629140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23629140 is about 4860.9813823959. The cubic root of 23629140 is about 286.9564373577.

The spelling of 23629140 in words is "twenty-three million, six hundred twenty-nine thousand, one hundred forty".