64029152 has 48 divisors (see below), whose sum is σ = 138955824. Its totient is φ = 28800000.

The previous prime is 64029143. The next prime is 64029169. The reversal of 64029152 is 25192046.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34652 + ... + 36452.

It is an arithmetic number, because the mean of its divisors is an integer number (2894913).

Almost surely, 2^64029152 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 64029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69477912).

64029152 is an abundant number, since it is smaller than the sum of its proper divisors (74926672).

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

64029152 is a wasteful number, since it uses less digits than its factorization.

64029152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 64029152 is about 8001.8217925670. The cubic root of 64029152 is about 400.0607241143.

It can be divided in two parts, 640 and 29152, that added together give a palindrome (29792).

The spelling of 64029152 in words is "sixty-four million, twenty-nine thousand, one hundred fifty-two".