11971600 has 45 divisors (see below), whose sum is σ = 28928983. Its totient is φ = 4760960.

The previous prime is 11971567. The next prime is 11971607. The reversal of 11971600 is 617911.

The square root of 11971600 is 3460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1317904 + 10653696 = 1148^2 + 3264^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11971607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69114 + ... + 69286.

Almost surely, 2^11971600 is an apocalyptic number.

11971600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11971600 is the 3460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11971600

11971600 is an abundant number, since it is smaller than the sum of its proper divisors (16957383).

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

11971600 is an equidigital number, since it uses as much as digits as its factorization.

11971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 25.

The cubic root of 11971600 is about 228.7620953721.

Multiplying 11971600 by its sum of digits (25), we get a square (299290000 = 17300²).

11971600 divided by its sum of digits (25) gives a square (478864 = 692²).

The spelling of 11971600 in words is "eleven million, nine hundred seventy-one thousand, six hundred".