966481920 has 144 divisors (see below), whose sum is σ = 3349972080. Its totient is φ = 257703936.

The previous prime is 966481853. The next prime is 966481933. The reversal of 966481920 is 29184669.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86917 + ... + 97403.

It is an arithmetic number, because the mean of its divisors is an integer number (23263695).

Almost surely, 2^966481920 is an apocalyptic number.

966481920 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 966481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674986040).

966481920 is an abundant number, since it is smaller than the sum of its proper divisors (2383490160).

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

966481920 is a wasteful number, since it uses less digits than its factorization.

966481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10520 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 966481920 is about 31088.2923300718. The cubic root of 966481920 is about 988.7000998768.

The spelling of 966481920 in words is "nine hundred sixty-six million, four hundred eighty-one thousand, nine hundred twenty".