641146584 has 64 divisors (see below), whose sum is σ = 1751984640. Its totient is φ = 194325120.

The previous prime is 641146523. The next prime is 641146589. The reversal of 641146584 is 485641146.

It is a super-2 number, since 2×641146584² = 822137884349738112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641146589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5569 + ... + 36239.

It is an arithmetic number, because the mean of its divisors is an integer number (27374760).

Almost surely, 2^641146584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641146584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875992320).

641146584 is an abundant number, since it is smaller than the sum of its proper divisors (1110838056).

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

641146584 is a wasteful number, since it uses less digits than its factorization.

641146584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30760 (or 30756 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 641146584 is about 25320.8724968157. The cubic root of 641146584 is about 862.2882023951.

The spelling of 641146584 in words is "six hundred forty-one million, one hundred forty-six thousand, five hundred eighty-four".