11862720 has 112 divisors (see below), whose sum is σ = 41879520. Its totient is φ = 3161088.

The previous prime is 11862713. The next prime is 11862761. The reversal of 11862720 is 2726811.

11862720 is a `hidden beast` number, since 1 + 18 + 627 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7954 + ... + 9326.

Almost surely, 2^11862720 is an apocalyptic number.

11862720 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 11862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20939760).

11862720 is an abundant number, since it is smaller than the sum of its proper divisors (30016800).

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

11862720 is a wasteful number, since it uses less digits than its factorization.

11862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11862720 is about 3444.2299574796. The cubic root of 11862720 is about 228.0664626185.

The spelling of 11862720 in words is "eleven million, eight hundred sixty-two thousand, seven hundred twenty".