964128564 has 36 divisors (see below), whose sum is σ = 2785261024. Its totient is φ = 275465232.

The previous prime is 964128553. The next prime is 964128569. The reversal of 964128564 is 465821469.

964128564 is a `hidden beast` number, since 9 + 64 + 1 + 28 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964128569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912702 + ... + 1913205.

Almost surely, 2^964128564 is an apocalyptic number.

It is an amenable number.

964128564 is an abundant number, since it is smaller than the sum of its proper divisors (1821132460).

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

964128564 is a wasteful number, since it uses less digits than its factorization.

964128564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825924 (or 3825919 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 964128564 is about 31050.4197073083. The cubic root of 964128564 is about 987.8969621056.

It can be divided in two parts, 96412 and 8564, that added together give a 4-th power (104976 = 18⁴).

The spelling of 964128564 in words is "nine hundred sixty-four million, one hundred twenty-eight thousand, five hundred sixty-four".