945776832 has 672 divisors, whose sum is σ = 3697102080. Its totient is φ = 209018880.

The previous prime is 945776809. The next prime is 945776849. The reversal of 945776832 is 238677549.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25561518 + ... + 25561554.

It is an arithmetic number, because the mean of its divisors is an integer number (5501640).

Almost surely, 2^945776832 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 945776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848551040).

945776832 is an abundant number, since it is smaller than the sum of its proper divisors (2751325248).

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

945776832 is a wasteful number, since it uses less digits than its factorization.

945776832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 945776832 is about 30753.4848757015. The cubic root of 945776832 is about 981.5887155974.

It can be divided in two parts, 945 and 776832, that added together give a palindrome (777777).

The spelling of 945776832 in words is "nine hundred forty-five million, seven hundred seventy-six thousand, eight hundred thirty-two".