1608647040 has 1280 divisors, whose sum is σ = 7962071040. Its totient is φ = 298598400.

The previous prime is 1608647021. The next prime is 1608647069. The reversal of 1608647040 is 407468061.

1608647040 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 647 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1608646986 and 1608647004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51891825 + ... + 51891855.

It is an arithmetic number, because the mean of its divisors is an integer number (6220368).

Almost surely, 2^1608647040 is an apocalyptic number.

1608647040 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 1608647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981035520).

1608647040 is an abundant number, since it is smaller than the sum of its proper divisors (6353424000).

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

1608647040 is a wasteful number, since it uses less digits than its factorization.

1608647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1608647040 is about 40107.9423555983. The cubic root of 1608647040 is about 1171.7103191309.

The spelling of 1608647040 in words is "one billion, six hundred eight million, six hundred forty-seven thousand, forty".