1132920 has 64 divisors (see below), whose sum is σ = 3780000. Its totient is φ = 301824.

The previous prime is 1132919. The next prime is 1132927. The reversal of 1132920 is 292311.

1132920 = T₄₇₁ + T₄₇₂ + ... + T₄₈₀.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1132893 and 1132902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132927) 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, 556 + ... + 1604.

2^1132920 is an apocalyptic number.

1132920 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 1132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890000).

1132920 is an abundant number, since it is smaller than the sum of its proper divisors (2647080).

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

1132920 is a wasteful number, since it uses less digits than its factorization.

1132920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1132920 is about 1064.3871476112. The cubic root of 1132920 is about 104.2476838158.

The spelling of 1132920 in words is "one million, one hundred thirty-two thousand, nine hundred twenty".