1961017344 has 480 divisors, whose sum is σ = 7046215680. Its totient is φ = 530841600.

The previous prime is 1961017339. The next prime is 1961017351. The reversal of 1961017344 is 4437101691.

1961017344 is a `hidden beast` number, since 1 + 9 + 610 + 1 + 7 + 34 + 4 = 666.

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 = 1961017299 and 1961017308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63258609 + ... + 63258639.

It is an arithmetic number, because the mean of its divisors is an integer number (14679616).

Almost surely, 2^1961017344 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 1961017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523107840).

1961017344 is an abundant number, since it is smaller than the sum of its proper divisors (5085198336).

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

1961017344 is a wasteful number, since it uses less digits than its factorization.

1961017344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1961017344 is about 44283.3754810990. The cubic root of 1961017344 is about 1251.6814372542.

The spelling of 1961017344 in words is "one billion, nine hundred sixty-one million, seventeen thousand, three hundred forty-four".