1615606560 has 240 divisors, whose sum is σ = 6037964856. Its totient is φ = 405430272.

The previous prime is 1615606541. The next prime is 1615606561. The reversal of 1615606560 is 656065161.

It can be written as a sum of positive squares in 4 ways, for example, as 996791184 + 618815376 = 31572^2 + 24876^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1615606560² = 5220369113430067200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1615606561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216654 + ... + 223986.

Almost surely, 2^1615606560 is an apocalyptic number.

1615606560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1615606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018982428).

1615606560 is an abundant number, since it is smaller than the sum of its proper divisors (4422358296).

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

1615606560 is a wasteful number, since it uses less digits than its factorization.

1615606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1615606560 is about 40194.6085936908. The cubic root of 1615606560 is about 1173.3976190099.

The spelling of 1615606560 in words is "one billion, six hundred fifteen million, six hundred six thousand, five hundred sixty".