1536361656 has 64 divisors (see below), whose sum is σ = 3957386880. Its totient is φ = 496679040.

The previous prime is 1536361637. The next prime is 1536361661. The reversal of 1536361656 is 6561636351.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291315 + ... + 296541.

It is an arithmetic number, because the mean of its divisors is an integer number (61834170).

Almost surely, 2^1536361656 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 1536361656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978693440).

1536361656 is an abundant number, since it is smaller than the sum of its proper divisors (2421025224).

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

1536361656 is a wasteful number, since it uses less digits than its factorization.

1536361656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5600 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 1536361656 is about 39196.4495330891. The cubic root of 1536361656 is about 1153.8902043846.

The spelling of 1536361656 in words is "one billion, five hundred thirty-six million, three hundred sixty-one thousand, six hundred fifty-six".