64146304 has 64 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 29409280.

The previous prime is 64146283. The next prime is 64146307. The reversal of 64146304 is 40364146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×64146304² = 8229496633720832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64146307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88857 + ... + 89575.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^64146304 is an apocalyptic number.

64146304 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 64146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800).

64146304 is an abundant number, since it is smaller than the sum of its proper divisors (74655296).

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

64146304 is a wasteful number, since it uses less digits than its factorization.

64146304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 64146304 is about 8009.1387801686. The cubic root of 64146304 is about 400.3045680369.

The spelling of 64146304 in words is "sixty-four million, one hundred forty-six thousand, three hundred four".