1640120832 has 320 divisors, whose sum is σ = 5880695040. Its totient is φ = 440598528.

The previous prime is 1640120819. The next prime is 1640120843. The reversal of 1640120832 is 2380210461.

1640120832 is a `hidden beast` number, since 1 + 640 + 12 + 0 + 8 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1640120796 and 1640120805.

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, 1644558 + ... + 1645554.

It is an arithmetic number, because the mean of its divisors is an integer number (18377172).

Almost surely, 2^1640120832 is an apocalyptic number.

1640120832 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 1640120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940347520).

1640120832 is an abundant number, since it is smaller than the sum of its proper divisors (4240574208).

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

1640120832 is an equidigital number, since it uses as much as digits as its factorization.

1640120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1026 counting only the distinct ones).

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

The square root of 1640120832 is about 40498.4053019375. The cubic root of 1640120832 is about 1179.3026694781.

The spelling of 1640120832 in words is "one billion, six hundred forty million, one hundred twenty thousand, eight hundred thirty-two".