1180033920 has 640 divisors, whose sum is σ = 4851887040. Its totient is φ = 270729216.

The previous prime is 1180033919. The next prime is 1180033957. The reversal of 1180033920 is 293300811.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11456589 + ... + 11456691.

Almost surely, 2^1180033920 is an apocalyptic number.

1180033920 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 1180033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425943520).

1180033920 is an abundant number, since it is smaller than the sum of its proper divisors (3671853120).

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

1180033920 is a wasteful number, since it uses less digits than its factorization.

1180033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1180033920 is about 34351.6217957755. The cubic root of 1180033920 is about 1056.7319305865.

The spelling of 1180033920 in words is "one billion, one hundred eighty million, thirty-three thousand, nine hundred twenty".