64805952 has 112 divisors (see below), whose sum is σ = 180685440. Its totient is φ = 20471808.

The previous prime is 64805947. The next prime is 64805957. The reversal of 64805952 is 25950846.

64805952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64805947) and next prime (64805957).

It is a super-2 number, since 2×64805952² = 8399622829252608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64805952.

It is not an unprimeable number, because it can be changed into a prime (64805957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573448 + ... + 573560.

Almost surely, 2^64805952 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 64805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90342720).

64805952 is an abundant number, since it is smaller than the sum of its proper divisors (115879488).

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

64805952 is a wasteful number, since it uses less digits than its factorization.

64805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 64805952 is about 8050.2144070826. The cubic root of 64805952 is about 401.6720674040.

The spelling of 64805952 in words is "sixty-four million, eight hundred five thousand, nine hundred fifty-two".