1561360400 has 30 divisors (see below), whose sum is σ = 3751169322. Its totient is φ = 624544000.

The previous prime is 1561360391. The next prime is 1561360499. The reversal of 1561360400 is 40631651.

It can be written as a sum of positive squares in 3 ways, for example, as 27541504 + 1533818896 = 5248^2 + 39164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1561360400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1951301 + ... + 1952100.

Almost surely, 2^1561360400 is an apocalyptic number.

1561360400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1561360400 is an abundant number, since it is smaller than the sum of its proper divisors (2189808922).

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

1561360400 is a wasteful number, since it uses less digits than its factorization.

1561360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903419 (or 3903408 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1561360400 is about 39514.0531962997. The cubic root of 1561360400 is about 1160.1150302099.

The spelling of 1561360400 in words is "one billion, five hundred sixty-one million, three hundred sixty thousand, four hundred".