11607948 has 60 divisors (see below), whose sum is σ = 33114312. Its totient is φ = 3516480.

The previous prime is 11607943. The next prime is 11607983. The reversal of 11607948 is 84970611.

11607948 is a `hidden beast` number, since 1 + 1 + 607 + 9 + 48 = 666.

11607948 is digitally balanced in base 2, because in such base 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 (36).

It is not an unprimeable number, because it can be changed into a prime (11607941) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1936 + ... + 5192.

Almost surely, 2^11607948 is an apocalyptic number.

11607948 is a gapful number since it is divisible by the number (18) 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 11607948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557156).

11607948 is an abundant number, since it is smaller than the sum of its proper divisors (21506364).

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

11607948 is a wasteful number, since it uses less digits than its factorization.

11607948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11607948 is about 3407.0438799640. The cubic root of 11607948 is about 226.4219282701.

The spelling of 11607948 in words is "eleven million, six hundred seven thousand, nine hundred forty-eight".