66956448 has 72 divisors (see below), whose sum is σ = 190366848. Its totient is φ = 20596992.

The previous prime is 66956429. The next prime is 66956459. The reversal of 66956448 is 84465966.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 66956397 and 66956406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14161 + ... + 18287.

It is an arithmetic number, because the mean of its divisors is an integer number (2643984).

Almost surely, 2^66956448 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 66956448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95183424).

66956448 is an abundant number, since it is smaller than the sum of its proper divisors (123410400).

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

66956448 is a wasteful number, since it uses less digits than its factorization.

66956448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4145 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 66956448 is about 8182.6919775829. The cubic root of 66956448 is about 406.0667867190.

The spelling of 66956448 in words is "sixty-six million, nine hundred fifty-six thousand, four hundred forty-eight".