11671792 has 80 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 4828160.

The previous prime is 11671763. The next prime is 11671799. The reversal of 11671792 is 29717611.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11671799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140583 + ... + 140665.

Almost surely, 2^11671792 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 11671792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

11671792 is an abundant number, since it is smaller than the sum of its proper divisors (15326480).

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

11671792 is a wasteful number, since it uses less digits than its factorization.

11671792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 5292, while the sum is 34.

The square root of 11671792 is about 3416.4004449127. The cubic root of 11671792 is about 226.8362782790.

The spelling of 11671792 in words is "eleven million, six hundred seventy-one thousand, seven hundred ninety-two".