11642900 has 36 divisors (see below), whose sum is σ = 25448892. Its totient is φ = 4623360.

The previous prime is 11642879. The next prime is 11642921. The reversal of 11642900 is 924611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11642879) and next prime (11642921).

It can be written as a sum of positive squares in 6 ways, for example, as 1156 + 11641744 = 34^2 + 3412^2 .

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, 16964 + ... + 17636.

Almost surely, 2^11642900 is an apocalyptic number.

11642900 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 11642900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724446).

11642900 is an abundant number, since it is smaller than the sum of its proper divisors (13805992).

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

11642900 is a wasteful number, since it uses less digits than its factorization.

11642900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11642900 is about 3412.1693979051. The cubic root of 11642900 is about 226.6489557480.

The spelling of 11642900 in words is "eleven million, six hundred forty-two thousand, nine hundred".