961122240 has 448 divisors, whose sum is σ = 3755136000. Its totient is φ = 229920768.

The previous prime is 961122199. The next prime is 961122247. The reversal of 961122240 is 42221169.

961122240 is a `hidden beast` number, since 9 + 611 + 2 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961122247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829661 + ... + 4829859.

It is an arithmetic number, because the mean of its divisors is an integer number (8382000).

Almost surely, 2^961122240 is an apocalyptic number.

961122240 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 961122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877568000).

961122240 is an abundant number, since it is smaller than the sum of its proper divisors (2794013760).

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

961122240 is a wasteful number, since it uses less digits than its factorization.

961122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 961122240 is about 31001.9715502095. The cubic root of 961122240 is about 986.8690802967.

It can be divided in two parts, 961 and 122240, that added together give a square (123201 = 351²).

The spelling of 961122240 in words is "nine hundred sixty-one million, one hundred twenty-two thousand, two hundred forty".