11621400 has 96 divisors (see below), whose sum is σ = 41187840. Its totient is φ = 2655360.

The previous prime is 11621399. The next prime is 11621419. The reversal of 11621400 is 412611.

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 11621400.

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, 2817 + ... + 5583.

It is an arithmetic number, because the mean of its divisors is an integer number (429040).

Almost surely, 2^11621400 is an apocalyptic number.

11621400 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 11621400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20593920).

11621400 is an abundant number, since it is smaller than the sum of its proper divisors (29566440).

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

11621400 is a wasteful number, since it uses less digits than its factorization.

11621400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11621400 is about 3409.0174537541. The cubic root of 11621400 is about 226.5093583647.

It can be divided in two parts, 11621 and 400, that added together give a palindrome (12021).

The spelling of 11621400 in words is "eleven million, six hundred twenty-one thousand, four hundred".