67633248 has 48 divisors (see below), whose sum is σ = 185262336. Its totient is φ = 21563520.

The previous prime is 67633213. The next prime is 67633261. The reversal of 67633248 is 84233676.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13108 + ... + 17523.

It is an arithmetic number, because the mean of its divisors is an integer number (3859632).

Almost surely, 2^67633248 is an apocalyptic number.

It is an amenable number.

67633248 is an abundant number, since it is smaller than the sum of its proper divisors (117629088).

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

67633248 is a wasteful number, since it uses less digits than its factorization.

67633248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30667 (or 30659 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 67633248 is about 8223.9435795730. The cubic root of 67633248 is about 407.4303854384.

It can be divided in two parts, 6763 and 3248, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 67633248 in words is "sixty-seven million, six hundred thirty-three thousand, two hundred forty-eight".