11578000 has 80 divisors (see below), whose sum is σ = 32033664. Its totient is φ = 3964800.

The previous prime is 11577991. The next prime is 11578001. The reversal of 11578000 is 87511.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11578001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13587 + ... + 14413.

Almost surely, 2^11578000 is an apocalyptic number.

11578000 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 11578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016832).

11578000 is an abundant number, since it is smaller than the sum of its proper divisors (20455664).

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

11578000 is an equidigital number, since it uses as much as digits as its factorization.

11578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 11578000 is about 3402.6460291955. The cubic root of 11578000 is about 226.2270410043.

The spelling of 11578000 in words is "eleven million, five hundred seventy-eight thousand".