1617561360 has 80 divisors (see below), whose sum is σ = 5571607680. Its totient is φ = 431349120.

The previous prime is 1617561317. The next prime is 1617561389. The reversal of 1617561360 is 631657161.

1617561360 is a `hidden beast` number, since 1 + 61 + 7 + 561 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 372276 + ... + 376595.

It is an arithmetic number, because the mean of its divisors is an integer number (69645096).

Almost surely, 2^1617561360 is an apocalyptic number.

1617561360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617561360 is an abundant number, since it is smaller than the sum of its proper divisors (3954046320).

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

1617561360 is a wasteful number, since it uses less digits than its factorization.

1617561360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748893 (or 748881 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1617561360 is about 40218.9179367123. The cubic root of 1617561360 is about 1173.8706783208.

The spelling of 1617561360 in words is "one billion, six hundred seventeen million, five hundred sixty-one thousand, three hundred sixty".