960313536 has 448 divisors, whose sum is σ = 3604930560. Its totient is φ = 243855360.

The previous prime is 960313517. The next prime is 960313573. The reversal of 960313536 is 635313069.

960313536 is a `hidden beast` number, since 9 + 603 + 13 + 5 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 960313536.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4874590 + ... + 4874786.

It is an arithmetic number, because the mean of its divisors is an integer number (8046720).

Almost surely, 2^960313536 is an apocalyptic number.

960313536 is a gapful number since it is divisible by the number (96) 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 960313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802465280).

960313536 is an abundant number, since it is smaller than the sum of its proper divisors (2644617024).

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

960313536 is a wasteful number, since it uses less digits than its factorization.

960313536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 960313536 is about 30988.9260220486. The cubic root of 960313536 is about 986.5922133577.

The spelling of 960313536 in words is "nine hundred sixty million, three hundred thirteen thousand, five hundred thirty-six".