1142880 has 48 divisors (see below), whose sum is σ = 3601584. Its totient is φ = 304640.

The previous prime is 1142863. The next prime is 1142881. The reversal of 1142880 is 882411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1142880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711 + ... + 1670.

It is an arithmetic number, because the mean of its divisors is an integer number (75033).

2^1142880 is an apocalyptic number.

1142880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142880 is an abundant number, since it is smaller than the sum of its proper divisors (2458704).

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

1142880 is a wasteful number, since it uses less digits than its factorization.

1142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1142880 is about 1069.0556580459. The cubic root of 1142880 is about 104.5522887209.

The spelling of 1142880 in words is "one million, one hundred forty-two thousand, eight hundred eighty".