962638248 has 192 divisors, whose sum is σ = 2919913920. Its totient is φ = 262563840.

The previous prime is 962638247. The next prime is 962638273. The reversal of 962638248 is 842836269.

It is a junction number, because it is equal to n+sod(n) for n = 962638197 and 962638206.

It is not an unprimeable number, because it can be changed into a prime (962638241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623040 + ... + 1623632.

It is an arithmetic number, because the mean of its divisors is an integer number (15207885).

Almost surely, 2^962638248 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 962638248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459956960).

962638248 is an abundant number, since it is smaller than the sum of its proper divisors (1957275672).

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

962638248 is a wasteful number, since it uses less digits than its factorization.

962638248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 962638248 is about 31026.4121032388. The cubic root of 962638248 is about 987.3876808213.

It can be divided in two parts, 9626 and 38248, that added together give a palindrome (47874).

The spelling of 962638248 in words is "nine hundred sixty-two million, six hundred thirty-eight thousand, two hundred forty-eight".