11392920 has 256 divisors, whose sum is σ = 47692800. Its totient is φ = 2350080.

The previous prime is 11392883. The next prime is 11392937. The reversal of 11392920 is 2929311.

It is a super-2 number, since 2×11392920² = 259597252252800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83092 + ... + 83228.

It is an arithmetic number, because the mean of its divisors is an integer number (186300).

Almost surely, 2^11392920 is an apocalyptic number.

11392920 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 11392920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846400).

11392920 is an abundant number, since it is smaller than the sum of its proper divisors (36299880).

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

11392920 is a wasteful number, since it uses less digits than its factorization.

11392920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11392920 is about 3375.3399828758. The cubic root of 11392920 is about 225.0151100964.

The spelling of 11392920 in words is "eleven million, three hundred ninety-two thousand, nine hundred twenty".