633342240 has 120 divisors (see below), whose sum is σ = 2235216060. Its totient is φ = 168887808.

The previous prime is 633342221. The next prime is 633342253. The reversal of 633342240 is 42243336.

It is a happy number.

633342240 is a `hidden beast` number, since 633 + 3 + 4 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 604569744 + 28772496 = 24588^2 + 5364^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×633342240² = 802244785936435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11475 + ... + 37394.

Almost surely, 2^633342240 is an apocalyptic number.

633342240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

633342240 is an abundant number, since it is smaller than the sum of its proper divisors (1601873820).

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

633342240 is a wasteful number, since it uses less digits than its factorization.

633342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48896 (or 48879 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 633342240 is about 25166.2917411366. The cubic root of 633342240 is about 858.7751808943.

Adding to 633342240 its reverse (42243336), we get a palindrome (675585576).

The spelling of 633342240 in words is "six hundred thirty-three million, three hundred forty-two thousand, two hundred forty".