11948040 has 256 divisors, whose sum is σ = 45964800. Its totient is φ = 2737152.

The previous prime is 11948021. The next prime is 11948137. The reversal of 11948040 is 4084911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11947995 and 11948013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322902 + ... + 322938.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^11948040 is an apocalyptic number.

11948040 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 11948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

11948040 is an abundant number, since it is smaller than the sum of its proper divisors (34016760).

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

11948040 is a wasteful number, since it uses less digits than its factorization.

11948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11948040 is about 3456.5936990048. The cubic root of 11948040 is about 228.6119295791.

The spelling of 11948040 in words is "eleven million, nine hundred forty-eight thousand, forty".