11878632 has 48 divisors (see below), whose sum is σ = 33286500. Its totient is φ = 3822336.

The previous prime is 11878627. The next prime is 11878651. The reversal of 11878632 is 23687811.

11878632 is a `hidden beast` number, since 1 + 18 + 7 + 8 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10850436 + 1028196 = 3294^2 + 1014^2 .

It is a super-2 number, since 2×11878632² = 282203796382848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 757 + ... + 4932.

Almost surely, 2^11878632 is an apocalyptic number.

11878632 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 11878632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643250).

11878632 is an abundant number, since it is smaller than the sum of its proper divisors (21407868).

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

11878632 is a wasteful number, since it uses less digits than its factorization.

11878632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5723 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11878632 is about 3446.5391336818. The cubic root of 11878632 is about 228.1683889947.

The spelling of 11878632 in words is "eleven million, eight hundred seventy-eight thousand, six hundred thirty-two".