11919400 has 48 divisors (see below), whose sum is σ = 28195740. Its totient is φ = 4684800.

The previous prime is 11919379. The next prime is 11919421. The reversal of 11919400 is 491911.

It is an interprime number because it is at equal distance from previous prime (11919379) and next prime (11919421).

It can be written as a sum of positive squares in 6 ways, for example, as 3865156 + 8054244 = 1966^2 + 2838^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11712 + ... + 12688.

Almost surely, 2^11919400 is an apocalyptic number.

11919400 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 11919400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14097870).

11919400 is an abundant number, since it is smaller than the sum of its proper divisors (16276340).

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

11919400 is a wasteful number, since it uses less digits than its factorization.

11919400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 11919400 is about 3452.4484065660. The cubic root of 11919400 is about 228.4291190051.

11919400 divided by its sum of digits (25) gives a triangular number (476776 = T₉₇₆).

The spelling of 11919400 in words is "eleven million, nine hundred nineteen thousand, four hundred".