64146852 has 144 divisors (see below), whose sum is σ = 205575552. Its totient is φ = 16381440.

The previous prime is 64146851. The next prime is 64146877. The reversal of 64146852 is 25864146.

64146852 is a `hidden beast` number, since 641 + 4 + 6 + 8 + 5 + 2 = 666.

It is a super-2 number, since 2×64146852² = 8229637243019808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64146851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202198 + ... + 202514.

It is an arithmetic number, because the mean of its divisors is an integer number (1427608).

Almost surely, 2^64146852 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 64146852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102787776).

64146852 is an abundant number, since it is smaller than the sum of its proper divisors (141428700).

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

64146852 is a wasteful number, since it uses less digits than its factorization.

64146852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 64146852 is about 8009.1729910147. The cubic root of 64146852 is about 400.3057079637.

The spelling of 64146852 in words is "sixty-four million, one hundred forty-six thousand, eight hundred fifty-two".