1640252160 has 288 divisors, whose sum is σ = 6012303360. Its totient is φ = 423014400.

The previous prime is 1640252137. The next prime is 1640252167. The reversal of 1640252160 is 612520461.

1640252160 is a `hidden beast` number, since 1 + 640 + 2 + 5 + 2 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1640252167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070595 + ... + 1072125.

Almost surely, 2^1640252160 is an apocalyptic number.

1640252160 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 1640252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006151680).

1640252160 is an abundant number, since it is smaller than the sum of its proper divisors (4372051200).

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

1640252160 is a wasteful number, since it uses less digits than its factorization.

1640252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1640252160 is about 40500.0266666579. The cubic root of 1640252160 is about 1179.3341450711.

The spelling of 1640252160 in words is "one billion, six hundred forty million, two hundred fifty-two thousand, one hundred sixty".