11375856 has 80 divisors (see below), whose sum is σ = 34596000. Its totient is φ = 3566592.

The previous prime is 11375843. The next prime is 11375879. The reversal of 11375856 is 65857311.

11375856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×11375856⁵ (a number of 36 digits) contains 55555 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11375856.

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, 6570 + ... + 8118.

It is an arithmetic number, because the mean of its divisors is an integer number (432450).

Almost surely, 2^11375856 is an apocalyptic number.

11375856 is a gapful number since it is divisible by the number (16) 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 11375856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298000).

11375856 is an abundant number, since it is smaller than the sum of its proper divisors (23220144).

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

11375856 is a wasteful number, since it uses less digits than its factorization.

11375856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 11375856 is about 3372.8112903037. The cubic root of 11375856 is about 224.9027134964.

The spelling of 11375856 in words is "eleven million, three hundred seventy-five thousand, eight hundred fifty-six".