961529940 has 180 divisors, whose sum is σ = 3509110836. Its totient is φ = 219760128.

The previous prime is 961529893. The next prime is 961529957. The reversal of 961529940 is 49925169.

961529940 is a `hidden beast` number, since 9 + 615 + 29 + 9 + 4 + 0 = 666.

961529940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 320123664 + 641406276 = 17892^2 + 25326^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 73324 + ... + 85436.

Almost surely, 2^961529940 is an apocalyptic number.

961529940 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 961529940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754555418).

961529940 is an abundant number, since it is smaller than the sum of its proper divisors (2547580896).

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

961529940 is a wasteful number, since it uses less digits than its factorization.

961529940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12148 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 961529940 is about 31008.5462413187. The cubic root of 961529940 is about 987.0086011020.

The spelling of 961529940 in words is "nine hundred sixty-one million, five hundred twenty-nine thousand, nine hundred forty".