11453760 has 168 divisors, whose sum is σ = 40773096. Its totient is φ = 2949120.

The previous prime is 11453737. The next prime is 11453797. The reversal of 11453760 is 6735411.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 11451456 = 48^2 + 3384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118032 + ... + 118128.

It is an arithmetic number, because the mean of its divisors is an integer number (242697).

Almost surely, 2^11453760 is an apocalyptic number.

11453760 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 11453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386548).

11453760 is an abundant number, since it is smaller than the sum of its proper divisors (29319336).

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

11453760 is a wasteful number, since it uses less digits than its factorization.

11453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 11453760 is about 3384.3404084105. The cubic root of 11453760 is about 225.4149380175.

The spelling of 11453760 in words is "eleven million, four hundred fifty-three thousand, seven hundred sixty".