11953560 has 128 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 2956800.

The previous prime is 11953559. The next prime is 11953561. The reversal of 11953560 is 6535911.

11953560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11953559) and next prime (11953561).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11953561) 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, 168325 + ... + 168395.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 2^11953560 is an apocalyptic number.

11953560 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 11953560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

11953560 is an abundant number, since it is smaller than the sum of its proper divisors (26615400).

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

11953560 is a wasteful number, since it uses less digits than its factorization.

11953560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 11953560 is about 3457.3920807453. The cubic root of 11953560 is about 228.6471304311.

The spelling of 11953560 in words is "eleven million, nine hundred fifty-three thousand, five hundred sixty".