11597040 has 320 divisors, whose sum is σ = 49996800. Its totient is φ = 2405376.

The previous prime is 11597023. The next prime is 11597041. The reversal of 11597040 is 4079511.

11597040 is digitally balanced in base 2 and base 8, 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 (27).

11597040 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 11596995 and 11597013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11597041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196531 + ... + 196589.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^11597040 is an apocalyptic number.

11597040 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 11597040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

11597040 is an abundant number, since it is smaller than the sum of its proper divisors (38399760).

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

11597040 is a wasteful number, since it uses less digits than its factorization.

11597040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11597040 is about 3405.4427024985. The cubic root of 11597040 is about 226.3509830745.

The spelling of 11597040 in words is "eleven million, five hundred ninety-seven thousand, forty".