11672900 has 36 divisors (see below), whose sum is σ = 25579092. Its totient is φ = 4623360.

The previous prime is 11672893. The next prime is 11672911. The reversal of 11672900 is 927611.

It can be written as a sum of positive squares in 6 ways, for example, as 329476 + 11343424 = 574^2 + 3368^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11672900.

It is a congruent number.

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, 10784 + ... + 11816.

Almost surely, 2^11672900 is an apocalyptic number.

11672900 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 11672900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789546).

11672900 is an abundant number, since it is smaller than the sum of its proper divisors (13906192).

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

11672900 is a wasteful number, since it uses less digits than its factorization.

11672900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 11672900 is about 3416.5626000412. The cubic root of 11672900 is about 226.8434558870.

The spelling of 11672900 in words is "eleven million, six hundred seventy-two thousand, nine hundred".