11893392 has 240 divisors, whose sum is σ = 43330560. Its totient is φ = 3079296.

The previous prime is 11893333. The next prime is 11893417. The reversal of 11893392 is 29339811.

11893392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (11664) is a multiple of the sum of its prime divisors (54).

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, 517093 + ... + 517115.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^11893392 is an apocalyptic number.

11893392 is a gapful number since it is divisible by the number (12) 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 11893392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

11893392 is an abundant number, since it is smaller than the sum of its proper divisors (31437168).

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

11893392 is a wasteful number, since it uses less digits than its factorization.

11893392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 11893392 is about 3448.6797473816. The cubic root of 11893392 is about 228.2628547405.

It can be divided in two parts, 118933 and 92, that added together give a square (119025 = 345²).

The spelling of 11893392 in words is "eleven million, eight hundred ninety-three thousand, three hundred ninety-two".