961506528 has 48 divisors (see below), whose sum is σ = 2554384896. Its totient is φ = 316638080.

The previous prime is 961506527. The next prime is 961506593. The reversal of 961506528 is 825605169.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×961506528² = 1848989606773229568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 961506528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961506527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52368 + ... + 68303.

It is an arithmetic number, because the mean of its divisors is an integer number (53216352).

Almost surely, 2^961506528 is an apocalyptic number.

It is an amenable number.

961506528 is an abundant number, since it is smaller than the sum of its proper divisors (1592878368).

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

961506528 is a wasteful number, since it uses less digits than its factorization.

961506528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120767 (or 120759 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 961506528 is about 31008.1687301911. The cubic root of 961506528 is about 987.0005902463. Note that the first 3 decimals are identical.

The spelling of 961506528 in words is "nine hundred sixty-one million, five hundred six thousand, five hundred twenty-eight".