1640812032 has 160 divisors (see below), whose sum is σ = 5113363200. Its totient is φ = 518068224.

The previous prime is 1640812009. The next prime is 1640812139. The reversal of 1640812032 is 2302180461.

1640812032 is a `hidden beast` number, since 1 + 640 + 8 + 12 + 0 + 3 + 2 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1640811987 and 1640812005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259533 + ... + 265779.

It is an arithmetic number, because the mean of its divisors is an integer number (31958520).

Almost surely, 2^1640812032 is an apocalyptic number.

1640812032 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 1640812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556681600).

1640812032 is an abundant number, since it is smaller than the sum of its proper divisors (3472551168).

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

1640812032 is an equidigital number, since it uses as much as digits as its factorization.

1640812032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1640812032 is about 40506.9380723846. The cubic root of 1640812032 is about 1179.4683116487.

Adding to 1640812032 its reverse (2302180461), we get a palindrome (3942992493).

The spelling of 1640812032 in words is "one billion, six hundred forty million, eight hundred twelve thousand, thirty-two".