640084032 has 280 divisors, whose sum is σ = 2242352640. Its totient is φ = 176670720.

The previous prime is 640084013. The next prime is 640084057. The reversal of 640084032 is 230480046.

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 = 640083987 and 640084005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124644 + ... + 1125212.

Almost surely, 2^640084032 is an apocalyptic number.

640084032 is a gapful number since it is divisible by the number (62) 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 640084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121176320).

640084032 is an abundant number, since it is smaller than the sum of its proper divisors (1602268608).

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

640084032 is a wasteful number, since it uses less digits than its factorization.

640084032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 640084032 is about 25299.8820550610. The cubic root of 640084032 is about 861.8115913321.

The spelling of 640084032 in words is "six hundred forty million, eighty-four thousand, thirty-two".