962858240 has 72 divisors (see below), whose sum is σ = 2442069000. Its totient is φ = 362479616.

The previous prime is 962858219. The next prime is 962858249. The reversal of 962858240 is 42858269.

It can be written as a sum of positive squares in 4 ways, for example, as 17172736 + 945685504 = 4144^2 + 30752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 962858191 and 962858200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962858249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365 + ... + 43884.

It is an arithmetic number, because the mean of its divisors is an integer number (33917625).

Almost surely, 2^962858240 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 962858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221034500).

962858240 is an abundant number, since it is smaller than the sum of its proper divisors (1479210760).

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

962858240 is a wasteful number, since it uses less digits than its factorization.

962858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44287 (or 44273 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 962858240 is about 31029.9571382237. The cubic root of 962858240 is about 987.4628910907.

The spelling of 962858240 in words is "nine hundred sixty-two million, eight hundred fifty-eight thousand, two hundred forty".