633830340 has 192 divisors, whose sum is σ = 2153152512. Its totient is φ = 137203200.

The previous prime is 633830317. The next prime is 633830369. The reversal of 633830340 is 43038336.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 633830298 and 633830307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264789 + ... + 267171.

It is an arithmetic number, because the mean of its divisors is an integer number (11214336).

Almost surely, 2^633830340 is an apocalyptic number.

633830340 is a gapful number since it is divisible by the number (60) 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 633830340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076576256).

633830340 is an abundant number, since it is smaller than the sum of its proper divisors (1519322172).

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

633830340 is a wasteful number, since it uses less digits than its factorization.

633830340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 633830340 is about 25175.9873689196. The cubic root of 633830340 is about 858.9957359670.

Adding to 633830340 its reverse (43038336), we get a palindrome (676868676).

The spelling of 633830340 in words is "six hundred thirty-three million, eight hundred thirty thousand, three hundred forty".