64641984 has 112 divisors (see below), whose sum is σ = 188829696. Its totient is φ = 19353600.

The previous prime is 64641979. The next prime is 64642013. The reversal of 64641984 is 48914646.

Its product of digits (165888) is a multiple of the sum of its prime divisors (384).

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, 268104 + ... + 268344.

Almost surely, 2^64641984 is an apocalyptic number.

64641984 is a gapful number since it is divisible by the number (64) 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 64641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94414848).

64641984 is an abundant number, since it is smaller than the sum of its proper divisors (124187712).

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

64641984 is a wasteful number, since it uses less digits than its factorization.

64641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 64641984 is about 8040.0238805615. The cubic root of 64641984 is about 401.3330193802. Note that the first 3 decimals are identical.

It can be divided in two parts, 6464 and 1984, that added together give a palindrome (8448).

The spelling of 64641984 in words is "sixty-four million, six hundred forty-one thousand, nine hundred eighty-four".