11878592 has 56 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 5269760.

The previous prime is 11878589. The next prime is 11878609. The reversal of 11878592 is 29587811.

It is a super-2 number, since 2×11878592² = 282201895804928, 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, 32909 + ... + 33267.

Almost surely, 2^11878592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11878592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

11878592 is an abundant number, since it is smaller than the sum of its proper divisors (14456128).

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

11878592 is a wasteful number, since it uses less digits than its factorization.

11878592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its digits is 40320, while the sum is 41.

The square root of 11878592 is about 3446.5333307543. The cubic root of 11878592 is about 228.1681328837.

It can be divided in two parts, 1187 and 8592, that added together give a palindrome (9779).

The spelling of 11878592 in words is "eleven million, eight hundred seventy-eight thousand, five hundred ninety-two".