1640808960 has 320 divisors, whose sum is σ = 6260170752. Its totient is φ = 358465536.

The previous prime is 1640808947. The next prime is 1640808979. The reversal of 1640808960 is 698080461.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235817 + ... + 1237143.

Almost surely, 2^1640808960 is an apocalyptic number.

1640808960 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 1640808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130085376).

1640808960 is an abundant number, since it is smaller than the sum of its proper divisors (4619361792).

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

1640808960 is a wasteful number, since it uses less digits than its factorization.

1640808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1640808960 is about 40506.9001529369. The cubic root of 1640808960 is about 1179.4675755642.

The spelling of 1640808960 in words is "one billion, six hundred forty million, eight hundred eight thousand, nine hundred sixty".