11623760 has 80 divisors (see below), whose sum is σ = 28807680. Its totient is φ = 4354560.

The previous prime is 11623757. The next prime is 11623769. The reversal of 11623760 is 6732611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11623760² = 270223593075200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11623769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106586 + ... + 106694.

It is an arithmetic number, because the mean of its divisors is an integer number (360096).

Almost surely, 2^11623760 is an apocalyptic number.

11623760 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 11623760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403840).

11623760 is an abundant number, since it is smaller than the sum of its proper divisors (17183920).

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

11623760 is a wasteful number, since it uses less digits than its factorization.

11623760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 11623760 is about 3409.3635769744. The cubic root of 11623760 is about 226.5246900202.

The spelling of 11623760 in words is "eleven million, six hundred twenty-three thousand, seven hundred sixty".