66948000 has 192 divisors, whose sum is σ = 250967808. Its totient is φ = 15283200.

The previous prime is 66947999. The next prime is 66948029. The reversal of 66948000 is 84966.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83602 + ... + 84398.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^66948000 is an apocalyptic number.

66948000 is a gapful number since it is divisible by the number (60) 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 66948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

66948000 is an abundant number, since it is smaller than the sum of its proper divisors (184019808).

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

66948000 is a wasteful number, since it uses less digits than its factorization.

66948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 66948000 is about 8182.1757497624. The cubic root of 66948000 is about 406.0497079731.

The spelling of 66948000 in words is "sixty-six million, nine hundred forty-eight thousand".