961826460 has 144 divisors (see below), whose sum is σ = 3181667328. Its totient is φ = 212664960.

The previous prime is 961826449. The next prime is 961826521. The reversal of 961826460 is 64628169.

961826460 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×961826460² = 1850220278312263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402429 + ... + 404811.

It is an arithmetic number, because the mean of its divisors is an integer number (22094912).

Almost surely, 2^961826460 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 961826460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590833664).

961826460 is an abundant number, since it is smaller than the sum of its proper divisors (2219840868).

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

961826460 is a wasteful number, since it uses less digits than its factorization.

961826460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 961826460 is about 31013.3271352817. The cubic root of 961826460 is about 987.1100497409.

The spelling of 961826460 in words is "nine hundred sixty-one million, eight hundred twenty-six thousand, four hundred sixty".