1615638960 has 280 divisors, whose sum is σ = 6068038704. Its totient is φ = 397509120.

The previous prime is 1615638953. The next prime is 1615638991. The reversal of 1615638960 is 698365161.

1615638960 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 638 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×1615638960³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 757095 + ... + 759225.

Almost surely, 2^1615638960 is an apocalyptic number.

1615638960 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 1615638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034019352).

1615638960 is an abundant number, since it is smaller than the sum of its proper divisors (4452399744).

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

1615638960 is a wasteful number, since it uses less digits than its factorization.

1615638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1615638960 is about 40195.0116307982. The cubic root of 1615638960 is about 1173.4054628810.

The spelling of 1615638960 in words is "one billion, six hundred fifteen million, six hundred thirty-eight thousand, nine hundred sixty".