1561200264 has 128 divisors (see below), whose sum is σ = 4723488000. Its totient is φ = 474895872.

The previous prime is 1561200259. The next prime is 1561200283. The reversal of 1561200264 is 4620021651.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246789 + ... + 253035.

It is an arithmetic number, because the mean of its divisors is an integer number (36902250).

Almost surely, 2^1561200264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561200264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361744000).

1561200264 is an abundant number, since it is smaller than the sum of its proper divisors (3162287736).

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

1561200264 is a wasteful number, since it uses less digits than its factorization.

1561200264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1561200264 is about 39512.0268272839. The cubic root of 1561200264 is about 1160.0753676754.

The spelling of 1561200264 in words is "one billion, five hundred sixty-one million, two hundred thousand, two hundred sixty-four".