961483140 has 72 divisors (see below), whose sum is σ = 2919036120. Its totient is φ = 256172544.

The previous prime is 961483129. The next prime is 961483151. The reversal of 961483140 is 41384169.

961483140 is a `hidden beast` number, since 9 + 614 + 8 + 31 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (961483129) and next prime (961483151).

It can be written as a sum of positive squares in 4 ways, for example, as 223382916 + 738100224 = 14946^2 + 27168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 961483095 and 961483104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374742 + ... + 377298.

Almost surely, 2^961483140 is an apocalyptic number.

961483140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

961483140 is an abundant number, since it is smaller than the sum of its proper divisors (1957552980).

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

961483140 is a wasteful number, since it uses less digits than its factorization.

961483140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 961483140 is about 31007.7916014669. The cubic root of 961483140 is about 986.9925874728.

The spelling of 961483140 in words is "nine hundred sixty-one million, four hundred eighty-three thousand, one hundred forty".