64219120 has 80 divisors (see below), whose sum is σ = 174863808. Its totient is φ = 21473280.

The previous prime is 64219039. The next prime is 64219121. The reversal of 64219120 is 2191246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64219121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21562 + ... + 24358.

Almost surely, 2^64219120 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 64219120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87431904).

64219120 is an abundant number, since it is smaller than the sum of its proper divisors (110644688).

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

64219120 is a wasteful number, since it uses less digits than its factorization.

64219120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 64219120 is about 8013.6832979598. The cubic root of 64219120 is about 400.4559800081.

The spelling of 64219120 in words is "sixty-four million, two hundred nineteen thousand, one hundred twenty".