641382240 has 96 divisors (see below), whose sum is σ = 2126718720. Its totient is φ = 162031104.

The previous prime is 641382227. The next prime is 641382253. The reversal of 641382240 is 42283146.

641382240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (641382227) and next prime (641382253).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×641382240² = 822742355574835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 641382198 and 641382207.

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, 26044 + ... + 44283.

It is an arithmetic number, because the mean of its divisors is an integer number (22153320).

Almost surely, 2^641382240 is an apocalyptic number.

641382240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641382240 is an abundant number, since it is smaller than the sum of its proper divisors (1485336480).

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

641382240 is a wasteful number, since it uses less digits than its factorization.

641382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70364 (or 70356 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 641382240 is about 25325.5254634529. The cubic root of 641382240 is about 862.3938352840.

The spelling of 641382240 in words is "six hundred forty-one million, three hundred eighty-two thousand, two hundred forty".