11164500 has 96 divisors (see below), whose sum is σ = 36167040. Its totient is φ = 2973600.

The previous prime is 11164493. The next prime is 11164501. The reversal of 11164500 is 546111.

11164500 is a `hidden beast` number, since 1 + 1 + 164 + 500 = 666.

11164500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11164501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13087 + ... + 13913.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 2^11164500 is an apocalyptic number.

11164500 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 11164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083520).

11164500 is an abundant number, since it is smaller than the sum of its proper divisors (25002540).

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

11164500 is a wasteful number, since it uses less digits than its factorization.

11164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11164500 is about 3341.3320696991. The cubic root of 11164500 is about 223.5011485910.

It can be divided in two parts, 11164 and 500, that added together give a square (11664 = 108²).

The spelling of 11164500 in words is "eleven million, one hundred sixty-four thousand, five hundred".