633679440 has 80 divisors (see below), whose sum is σ = 2049833088. Its totient is φ = 161632768.

The previous prime is 633679439. The next prime is 633679441. The reversal of 633679440 is 44976336.

It is an interprime number because it is at equal distance from previous prime (633679439) and next prime (633679441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 633679392 and 633679401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633679441) 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 15 ways as a sum of consecutive naturals, for example, 51879 + ... + 62918.

Almost surely, 2^633679440 is an apocalyptic number.

633679440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

633679440 is an abundant number, since it is smaller than the sum of its proper divisors (1416153648).

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

633679440 is a wasteful number, since it uses less digits than its factorization.

633679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114836 (or 114830 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 633679440 is about 25172.9902872106. The cubic root of 633679440 is about 858.9275617062.

The spelling of 633679440 in words is "six hundred thirty-three million, six hundred seventy-nine thousand, four hundred forty".