11957088 has 144 divisors (see below), whose sum is σ = 37630656. Its totient is φ = 3294720.

The previous prime is 11957059. The next prime is 11957107. The reversal of 11957088 is 88075911.

11957088 is digitally balanced in base 2 and base 4, because in such bases 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 (39).

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, 178431 + ... + 178497.

It is an arithmetic number, because the mean of its divisors is an integer number (261324).

Almost surely, 2^11957088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11957088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815328).

11957088 is an abundant number, since it is smaller than the sum of its proper divisors (25673568).

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

11957088 is a wasteful number, since it uses less digits than its factorization.

11957088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 11957088 is about 3457.9022542576. The cubic root of 11957088 is about 228.6696226908.

The spelling of 11957088 in words is "eleven million, nine hundred fifty-seven thousand, eighty-eight".