633534240 has 144 divisors (see below), whose sum is σ = 2120392512. Its totient is φ = 158969856.

The previous prime is 633534229. The next prime is 633534247. The reversal of 633534240 is 42435336.

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 = 633534198 and 633534207.

It is not an unprimeable number, because it can be changed into a prime (633534247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136437 + ... + 141003.

It is an arithmetic number, because the mean of its divisors is an integer number (14724948).

Almost surely, 2^633534240 is an apocalyptic number.

633534240 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 633534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060196256).

633534240 is an abundant number, since it is smaller than the sum of its proper divisors (1486858272).

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

633534240 is a wasteful number, since it uses less digits than its factorization.

633534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 633534240 is about 25170.1060784415. The cubic root of 633534240 is about 858.8619523981.

Adding to 633534240 its reverse (42435336), we get a palindrome (675969576).

The spelling of 633534240 in words is "six hundred thirty-three million, five hundred thirty-four thousand, two hundred forty".