64145984 has 56 divisors (see below), whose sum is σ = 146718528. Its totient is φ = 27256320.

The previous prime is 64145933. The next prime is 64145993. The reversal of 64145984 is 48954146.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×64145984² = 8229414526656512, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 58142 + ... + 59234.

Almost surely, 2^64145984 is an apocalyptic number.

64145984 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 64145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73359264).

64145984 is an abundant number, since it is smaller than the sum of its proper divisors (82572544).

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

64145984 is a wasteful number, since it uses less digits than its factorization.

64145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1233 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 64145984 is about 8009.1188029645. The cubic root of 64145984 is about 400.3039023832.

The spelling of 64145984 in words is "sixty-four million, one hundred forty-five thousand, nine hundred eighty-four".