11625900 has 144 divisors (see below), whose sum is σ = 39664128. Its totient is φ = 2592000.

The previous prime is 11625883. The next prime is 11625917. The reversal of 11625900 is 952611.

11625900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11625883) and next prime (11625917).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42765 + ... + 43035.

Almost surely, 2^11625900 is an apocalyptic number.

11625900 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 11625900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19832064).

11625900 is an abundant number, since it is smaller than the sum of its proper divisors (28038228).

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

11625900 is a wasteful number, since it uses less digits than its factorization.

11625900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 11625900 is about 3409.6774040956. The cubic root of 11625900 is about 226.5385906596.

Subtracting from 11625900 its reverse (952611), we obtain a square (10673289 = 3267²).

The spelling of 11625900 in words is "eleven million, six hundred twenty-five thousand, nine hundred".