11460000 has 120 divisors (see below), whose sum is σ = 37787904. Its totient is φ = 3040000.

The previous prime is 11459971. The next prime is 11460013. The reversal of 11460000 is 6411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59905 + ... + 60095.

Almost surely, 2^11460000 is an apocalyptic number.

11460000 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 11460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18893952).

11460000 is an abundant number, since it is smaller than the sum of its proper divisors (26327904).

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

11460000 is an equidigital number, since it uses as much as digits as its factorization.

11460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11460000 is about 3385.2621759622. The cubic root of 11460000 is about 225.4558658832.

Adding to 11460000 its reverse (6411), we get a palindrome (11466411).

The spelling of 11460000 in words is "eleven million, four hundred sixty thousand".