1361256800 has 36 divisors (see below), whose sum is σ = 3323170116. Its totient is φ = 544502400.

The previous prime is 1361256749. The next prime is 1361256811. The reversal of 1361256800 is 86521631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 849986 + ... + 851585.

It is an arithmetic number, because the mean of its divisors is an integer number (92310281).

Almost surely, 2^1361256800 is an apocalyptic number.

1361256800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361256800 is an abundant number, since it is smaller than the sum of its proper divisors (1961913316).

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

1361256800 is a wasteful number, since it uses less digits than its factorization.

1361256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701591 (or 1701578 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1361256800 is about 36895.2137817360. The cubic root of 1361256800 is about 1108.2728326722.

The spelling of 1361256800 in words is "one billion, three hundred sixty-one million, two hundred fifty-six thousand, eight hundred".