965623680 has 384 divisors, whose sum is σ = 3956359680. Its totient is φ = 220465152.

The previous prime is 965623667. The next prime is 965623693. The reversal of 965623680 is 86326569.

It is a happy number.

965623680 is a `hidden beast` number, since 9 + 6 + 562 + 3 + 6 + 80 = 666.

965623680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (965623667) and next prime (965623693).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

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, 1088197 + ... + 1089083.

It is an arithmetic number, because the mean of its divisors is an integer number (10303020).

Almost surely, 2^965623680 is an apocalyptic number.

965623680 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 965623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978179840).

965623680 is an abundant number, since it is smaller than the sum of its proper divisors (2990736000).

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

965623680 is an equidigital number, since it uses as much as digits as its factorization.

965623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 965623680 is about 31074.4859973580. The cubic root of 965623680 is about 988.4073565949.

The spelling of 965623680 in words is "nine hundred sixty-five million, six hundred twenty-three thousand, six hundred eighty".