961028964 has 108 divisors (see below), whose sum is σ = 2948871744. Its totient is φ = 262630368.

The previous prime is 961028963. The next prime is 961029007. The reversal of 961028964 is 469820169.

It is a happy number.

961028964 is a `hidden beast` number, since 9 + 610 + 28 + 9 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961028963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28729 + ... + 52415.

It is an arithmetic number, because the mean of its divisors is an integer number (27304368).

Almost surely, 2^961028964 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 961028964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474435872).

961028964 is an abundant number, since it is smaller than the sum of its proper divisors (1987842780).

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

961028964 is a wasteful number, since it uses less digits than its factorization.

961028964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23734 (or 23722 counting only the distinct ones).

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

The square root of 961028964 is about 31000.4671577704. The cubic root of 961028964 is about 986.8371543618.

The spelling of 961028964 in words is "nine hundred sixty-one million, twenty-eight thousand, nine hundred sixty-four".