1640086272 has 432 divisors, whose sum is σ = 5578403040. Its totient is φ = 474439680.

The previous prime is 1640086243. The next prime is 1640086303. The reversal of 1640086272 is 2726800461.

1640086272 is a `hidden beast` number, since 1 + 640 + 0 + 8 + 6 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30944998 + ... + 30945050.

It is an arithmetic number, because the mean of its divisors is an integer number (12912970).

Almost surely, 2^1640086272 is an apocalyptic number.

1640086272 is a gapful number since it is divisible by the number (12) 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 1640086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789201520).

1640086272 is an abundant number, since it is smaller than the sum of its proper divisors (3938316768).

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

1640086272 is a wasteful number, since it uses less digits than its factorization.

1640086272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

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

The square root of 1640086272 is about 40497.9786162223. The cubic root of 1640086272 is about 1179.2943861480.

The spelling of 1640086272 in words is "one billion, six hundred forty million, eighty-six thousand, two hundred seventy-two".