1142930880 has 672 divisors, whose sum is σ = 4992624000. Its totient is φ = 238436352.

The previous prime is 1142930869. The next prime is 1142930891. The reversal of 1142930880 is 880392411.

It is an interprime number because it is at equal distance from previous prime (1142930869) and next prime (1142930891).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12841876 + ... + 12841964.

It is an arithmetic number, because the mean of its divisors is an integer number (7429500).

Almost surely, 2^1142930880 is an apocalyptic number.

1142930880 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 1142930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312000).

1142930880 is an abundant number, since it is smaller than the sum of its proper divisors (3849693120).

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

1142930880 is a wasteful number, since it uses less digits than its factorization.

1142930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1142930880 is about 33807.2607586004. The cubic root of 1142930880 is about 1045.5384022282.

The spelling of 1142930880 in words is "one billion, one hundred forty-two million, nine hundred thirty thousand, eight hundred eighty".