66827904 has 128 divisors (see below), whose sum is σ = 208716480. Its totient is φ = 18677760.

The previous prime is 66827897. The next prime is 66827951. The reversal of 66827904 is 40972866.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54304 + ... + 55520.

Almost surely, 2^66827904 is an apocalyptic number.

66827904 is a gapful number since it is divisible by the number (64) 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 66827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104358240).

66827904 is an abundant number, since it is smaller than the sum of its proper divisors (141888576).

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

66827904 is a wasteful number, since it uses less digits than its factorization.

66827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 66827904 is about 8174.8335762877. The cubic root of 66827904 is about 405.8067625321.

It can be divided in two parts, 66 and 827904, that multiplied together give a square (54641664 = 7392²).

The spelling of 66827904 in words is "sixty-six million, eight hundred twenty-seven thousand, nine hundred four".