11601600 has 84 divisors (see below), whose sum is σ = 38078664. Its totient is φ = 3092480.

The previous prime is 11601593. The next prime is 11601607. The reversal of 11601600 is 610611.

It is an interprime number because it is at equal distance from previous prime (11601593) and next prime (11601607).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11601600.

It is not an unprimeable number, because it can be changed into a prime (11601607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3592 + ... + 6008.

Almost surely, 2^11601600 is an apocalyptic number.

11601600 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 11601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039332).

11601600 is an abundant number, since it is smaller than the sum of its proper divisors (26477064).

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

11601600 is a wasteful number, since it uses less digits than its factorization.

11601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11601600 is about 3406.1121531741. The cubic root of 11601600 is about 226.3806465412.

The spelling of 11601600 in words is "eleven million, six hundred one thousand, six hundred".