964503072 has 192 divisors, whose sum is σ = 3101535360. Its totient is φ = 289723392.

The previous prime is 964503047. The next prime is 964503097. The reversal of 964503072 is 270305469.

964503072 is a `hidden beast` number, since 9 + 645 + 0 + 3 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (964503047) and next prime (964503097).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481978 + ... + 483974.

It is an arithmetic number, because the mean of its divisors is an integer number (16153830).

Almost surely, 2^964503072 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 964503072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550767680).

964503072 is an abundant number, since it is smaller than the sum of its proper divisors (2137032288).

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

964503072 is a wasteful number, since it uses less digits than its factorization.

964503072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 964503072 is about 31056.4497649039. The cubic root of 964503072 is about 988.0248590947.

The spelling of 964503072 in words is "nine hundred sixty-four million, five hundred three thousand, seventy-two".