961242048 has 336 divisors, whose sum is σ = 3168652032. Its totient is φ = 276480000.

The previous prime is 961242047. The next prime is 961242049. The reversal of 961242048 is 840242169.

It is an interprime number because it is at equal distance from previous prime (961242047) and next prime (961242049).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961242043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9517198 + ... + 9517298.

It is an arithmetic number, because the mean of its divisors is an integer number (9430512).

Almost surely, 2^961242048 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 961242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584326016).

961242048 is an abundant number, since it is smaller than the sum of its proper divisors (2207409984).

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

961242048 is a wasteful number, since it uses less digits than its factorization.

961242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 961242048 is about 31003.9037542049. The cubic root of 961242048 is about 986.9100844110.

The spelling of 961242048 in words is "nine hundred sixty-one million, two hundred forty-two thousand, forty-eight".