11860800 has 168 divisors, whose sum is σ = 44598336. Its totient is φ = 2703360.

The previous prime is 11860789. The next prime is 11860811. The reversal of 11860800 is 806811.

11860800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11860789) and next prime (11860811).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33424 + ... + 33776.

Almost surely, 2^11860800 is an apocalyptic number.

11860800 is a gapful number since it is divisible by the number (10) 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 11860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22299168).

11860800 is an abundant number, since it is smaller than the sum of its proper divisors (32737536).

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

11860800 is a wasteful number, since it uses less digits than its factorization.

11860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11860800 is about 3443.9512191667. The cubic root of 11860800 is about 228.0541576487.

The spelling of 11860800 in words is "eleven million, eight hundred sixty thousand, eight hundred".