66793056 has 96 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 19169280.

The previous prime is 66793043. The next prime is 66793073. The reversal of 66793056 is 65039766.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×66793056² = 8922624659638272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66792999 and 66793017.

It is a congruent number.

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, 18400 + ... + 21728.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2^66793056 is an apocalyptic number.

66793056 is a gapful number since it is divisible by the number (66) 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 66793056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

66793056 is an abundant number, since it is smaller than the sum of its proper divisors (134605344).

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

66793056 is a wasteful number, since it uses less digits than its factorization.

66793056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 66793056 is about 8172.7018788158. The cubic root of 66793056 is about 405.7362130959.

The spelling of 66793056 in words is "sixty-six million, seven hundred ninety-three thousand, fifty-six".