1167920 has 40 divisors (see below), whose sum is σ = 2926896. Its totient is φ = 430848.

The previous prime is 1167919. The next prime is 1167937. The reversal of 1167920 is 297611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1167920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479 + ... + 1601.

2^1167920 is an apocalyptic number.

1167920 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 1167920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463448).

1167920 is an abundant number, since it is smaller than the sum of its proper divisors (1758976).

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

1167920 is a wasteful number, since it uses less digits than its factorization.

1167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 1167920 is about 1080.7034745942. The cubic root of 1167920 is about 105.3103441079.

The spelling of 1167920 in words is "one million, one hundred sixty-seven thousand, nine hundred twenty".