11878944 has 96 divisors (see below), whose sum is σ = 38900736. Its totient is φ = 3083520.

The previous prime is 11878927. The next prime is 11878963. The reversal of 11878944 is 44987811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11878944² = 282218621110272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11878896 and 11878905.

It is a congruent number.

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, 6589 + ... + 8195.

It is an arithmetic number, because the mean of its divisors is an integer number (405216).

Almost surely, 2^11878944 is an apocalyptic number.

11878944 is a gapful number since it is divisible by the number (14) 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 11878944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450368).

11878944 is an abundant number, since it is smaller than the sum of its proper divisors (27021792).

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

11878944 is a wasteful number, since it uses less digits than its factorization.

11878944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1630 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 11878944 is about 3446.5843961812. The cubic root of 11878944 is about 228.1703866410.

The spelling of 11878944 in words is "eleven million, eight hundred seventy-eight thousand, nine hundred forty-four".