964360080 has 240 divisors, whose sum is σ = 3396032640. Its totient is φ = 254306304.

The previous prime is 964360073. The next prime is 964360093. The reversal of 964360080 is 80063469.

964360080 is a `hidden beast` number, since 9 + 6 + 43 + 600 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2196501 + ... + 2196939.

It is an arithmetic number, because the mean of its divisors is an integer number (14150136).

Almost surely, 2^964360080 is an apocalyptic number.

964360080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964360080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).

964360080 is an abundant number, since it is smaller than the sum of its proper divisors (2431672560).

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

964360080 is a wasteful number, since it uses less digits than its factorization.

964360080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 964360080 is about 31054.1475490795. The cubic root of 964360080 is about 987.9760302773.

The spelling of 964360080 in words is "nine hundred sixty-four million, three hundred sixty thousand, eighty".