964035072 has 720 divisors, whose sum is σ = 3962038080. Its totient is φ = 218972160.

The previous prime is 964035071. The next prime is 964035077. The reversal of 964035072 is 270530469.

964035072 is a `hidden beast` number, since 9 + 640 + 3 + 5 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964035071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50738679 + ... + 50738697.

Almost surely, 2^964035072 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 964035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981019040).

964035072 is an abundant number, since it is smaller than the sum of its proper divisors (2998003008).

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

964035072 is a wasteful number, since it uses less digits than its factorization.

964035072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

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

The square root of 964035072 is about 31048.9141839131. The cubic root of 964035072 is about 987.8650287958.

It can be divided in two parts, 96403 and 5072, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 964035072 in words is "nine hundred sixty-four million, thirty-five thousand, seventy-two".