1131002880 has 352 divisors, whose sum is σ = 4222649856. Its totient is φ = 253034496.

The previous prime is 1131002863. The next prime is 1131002927. The reversal of 1131002880 is 882001311.

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 1131002880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7203762 + ... + 7203918.

Almost surely, 2^1131002880 is an apocalyptic number.

1131002880 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 1131002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111324928).

1131002880 is an abundant number, since it is smaller than the sum of its proper divisors (3091646976).

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

1131002880 is a wasteful number, since it uses less digits than its factorization.

1131002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1131002880 is about 33630.3862600476. The cubic root of 1131002880 is about 1041.8884819432. Note that the first 3 decimals are identical.

The spelling of 1131002880 in words is "one billion, one hundred thirty-one million, two thousand, eight hundred eighty".