66933048 has 128 divisors (see below), whose sum is σ = 216921600. Its totient is φ = 16713216.

The previous prime is 66933047. The next prime is 66933071. The reversal of 66933048 is 84033966.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 66932997 and 66933015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66933047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40690 + ... + 42302.

It is an arithmetic number, because the mean of its divisors is an integer number (1694700).

Almost surely, 2^66933048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66933048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108460800).

66933048 is an abundant number, since it is smaller than the sum of its proper divisors (149988552).

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

66933048 is a wasteful number, since it uses less digits than its factorization.

66933048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 66933048 is about 8181.2620053388. The cubic root of 66933048 is about 406.0194770114.

The spelling of 66933048 in words is "sixty-six million, nine hundred thirty-three thousand, forty-eight".