11990400 has 96 divisors (see below), whose sum is σ = 39525000. Its totient is φ = 3194880.

The previous prime is 11990371. The next prime is 11990401. The reversal of 11990400 is 409911.

11990400 is nontrivially palindromic in base 7.

11990400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11990401) 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, 8976 + ... + 10224.

Almost surely, 2^11990400 is an apocalyptic number.

11990400 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 11990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762500).

11990400 is an abundant number, since it is smaller than the sum of its proper divisors (27534600).

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

11990400 is a wasteful number, since it uses less digits than its factorization.

11990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 11990400 is about 3462.7156972527. The cubic root of 11990400 is about 228.8817807968.

The spelling of 11990400 in words is "eleven million, nine hundred ninety thousand, four hundred".