1136668400 has 240 divisors, whose sum is σ = 3249625344. Its totient is φ = 374077440.

The previous prime is 1136668397. The next prime is 1136668417. The reversal of 1136668400 is 48666311.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 13694759 + ... + 13694841.

Almost surely, 2^1136668400 is an apocalyptic number.

1136668400 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 1136668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624812672).

1136668400 is an abundant number, since it is smaller than the sum of its proper divisors (2112956944).

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

1136668400 is a wasteful number, since it uses less digits than its factorization.

1136668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1136668400 is about 33714.5131953585. The cubic root of 1136668400 is about 1043.6252918521.

The spelling of 1136668400 in words is "one billion, one hundred thirty-six million, six hundred sixty-eight thousand, four hundred".