1640590560 has 216 divisors, whose sum is σ = 6512838696. Its totient is φ = 374976000.

The previous prime is 1640590537. The next prime is 1640590573. The reversal of 1640590560 is 650950461.

1640590560 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 5 + 90 + 560 = 666.

It is a super-2 number, since 2×1640590560² = 5383074771122227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58935 + ... + 82185.

It is an arithmetic number, because the mean of its divisors is an integer number (30152031).

Almost surely, 2^1640590560 is an apocalyptic number.

1640590560 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 1640590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256419348).

1640590560 is an abundant number, since it is smaller than the sum of its proper divisors (4872248136).

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

1640590560 is a wasteful number, since it uses less digits than its factorization.

1640590560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23286 (or 23268 counting only the distinct ones).

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

The square root of 1640590560 is about 40504.2042262282. The cubic root of 1640590560 is about 1179.4152422020.

The spelling of 1640590560 in words is "one billion, six hundred forty million, five hundred ninety thousand, five hundred sixty".