66754842 has 128 divisors (see below), whose sum is σ = 176947200. Its totient is φ = 16286400.

The previous prime is 66754823. The next prime is 66754843. The reversal of 66754842 is 24845766.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (322560) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 66754794 and 66754803.

It is not an unprimeable number, because it can be changed into a prime (66754843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844959 + ... + 845037.

It is an arithmetic number, because the mean of its divisors is an integer number (1382400).

Almost surely, 2^66754842 is an apocalyptic number.

66754842 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66754842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88473600).

66754842 is an abundant number, since it is smaller than the sum of its proper divisors (110192358).

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

66754842 is a wasteful number, since it uses less digits than its factorization.

66754842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its digits is 322560, while the sum is 42.

The square root of 66754842 is about 8170.3636393982. The cubic root of 66754842 is about 405.6588210115.

It can be divided in two parts, 667548 and 42, that added together give a triangular number (667590 = T₁₁₅₅).

The spelling of 66754842 in words is "sixty-six million, seven hundred fifty-four thousand, eight hundred forty-two".