961502040 has 96 divisors (see below), whose sum is σ = 3134710800. Its totient is φ = 255594240.

The previous prime is 961502039. The next prime is 961502041. The reversal of 961502040 is 40205169.

961502040 is a `hidden beast` number, since 9 + 615 + 0 + 2 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (961502039) and next prime (961502041).

It is a junction number, because it is equal to n+sod(n) for n = 961501995 and 961502013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961502041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115126 + ... + 123194.

Almost surely, 2^961502040 is an apocalyptic number.

961502040 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 961502040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567355400).

961502040 is an abundant number, since it is smaller than the sum of its proper divisors (2173208760).

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

961502040 is a wasteful number, since it uses less digits than its factorization.

961502040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 961502040 is about 31008.0963620794. The cubic root of 961502040 is about 986.9990545779. Note that the first 3 decimals are identical.

The spelling of 961502040 in words is "nine hundred sixty-one million, five hundred two thousand, forty".