930632040 has 192 divisors, whose sum is σ = 3370021200. Its totient is φ = 221147136.

The previous prime is 930631993. The next prime is 930632047. The reversal of 930632040 is 40236039.

930632040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30272004 + 900360036 = 5502^2 + 30006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 930631995 and 930632013.

It is not an unprimeable number, because it can be changed into a prime (930632047) 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, 132292 + ... + 139148.

Almost surely, 2^930632040 is an apocalyptic number.

930632040 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 930632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685010600).

930632040 is an abundant number, since it is smaller than the sum of its proper divisors (2439389160).

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

930632040 is a wasteful number, since it uses less digits than its factorization.

930632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 930632040 is about 30506.2623079262. The cubic root of 930632040 is about 976.3210809813.

Adding to 930632040 its reverse (40236039), we get a palindrome (970868079).

The spelling of 930632040 in words is "nine hundred thirty million, six hundred thirty-two thousand, forty".