961001840 has 80 divisors (see below), whose sum is σ = 2420925408. Its totient is φ = 353353728.

The previous prime is 961001831. The next prime is 961001843. The reversal of 961001840 is 48100169.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961001843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50264 + ... + 66696.

Almost surely, 2^961001840 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 961001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210462704).

961001840 is an abundant number, since it is smaller than the sum of its proper divisors (1459923568).

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

961001840 is a wasteful number, since it uses less digits than its factorization.

961001840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16506 (or 16500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 961001840 is about 31000.0296774051. The cubic root of 961001840 is about 986.8278701384.

The spelling of 961001840 in words is "nine hundred sixty-one million, one thousand, eight hundred forty".