11857920 has 104 divisors (see below), whose sum is σ = 38137296. Its totient is φ = 3145728.

The previous prime is 11857913. The next prime is 11857931. The reversal of 11857920 is 2975811.

It is a super-2 number, since 2×11857920² = 281220533452800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61344 + ... + 61536.

Almost surely, 2^11857920 is an apocalyptic number.

11857920 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 11857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19068648).

11857920 is an abundant number, since it is smaller than the sum of its proper divisors (26279376).

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

11857920 is an equidigital number, since it uses as much as digits as its factorization.

11857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11857920 is about 3443.5330693925. The cubic root of 11857920 is about 228.0356977039.

The spelling of 11857920 in words is "eleven million, eight hundred fifty-seven thousand, nine hundred twenty".