1129920 has 112 divisors (see below), whose sum is σ = 3950208. Its totient is φ = 271360.

The previous prime is 1129897. The next prime is 1129951. The reversal of 1129920 is 299211.

1129920 = T₁₅₅ + T₁₅₆ + ... + T₂₁₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10507 + ... + 10613.

2^1129920 is an apocalyptic number.

1129920 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 1129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104).

1129920 is an abundant number, since it is smaller than the sum of its proper divisors (2820288).

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

1129920 is a wasteful number, since it uses less digits than its factorization.

1129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1129920 is about 1062.9769517727. The cubic root of 1129920 is about 104.1555856657.

It can be divided in two parts, 1 and 129920, that added together give a palindrome (129921).

The spelling of 1129920 in words is "one million, one hundred twenty-nine thousand, nine hundred twenty".