11801400 has 192 divisors, whose sum is σ = 42184800. Its totient is φ = 2703360.

The previous prime is 11801353. The next prime is 11801401. The reversal of 11801400 is 410811.

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 11801400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11801401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132556 + ... + 132644.

Almost surely, 2^11801400 is an apocalyptic number.

11801400 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 11801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

11801400 is an abundant number, since it is smaller than the sum of its proper divisors (30383400).

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

11801400 is a wasteful number, since it uses less digits than its factorization.

11801400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11801400 is about 3435.3165792980. The cubic root of 11801400 is about 227.6728147938.

The spelling of 11801400 in words is "eleven million, eight hundred one thousand, four hundred".