1136980800 has 420 divisors, whose sum is σ = 4329314176. Its totient is φ = 292377600.

The previous prime is 1136980787. The next prime is 1136980813. The reversal of 1136980800 is 80896311.

It is an interprime number because it is at equal distance from previous prime (1136980787) and next prime (1136980813).

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4017459 + ... + 4017741.

Almost surely, 2^1136980800 is an apocalyptic number.

1136980800 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 1136980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164657088).

1136980800 is an abundant number, since it is smaller than the sum of its proper divisors (3192333376).

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

1136980800 is a wasteful number, since it uses less digits than its factorization.

1136980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1136980800 is about 33719.1458966564. The cubic root of 1136980800 is about 1043.7208924915.

The spelling of 1136980800 in words is "one billion, one hundred thirty-six million, nine hundred eighty thousand, eight hundred".