66883740 has 192 divisors, whose sum is σ = 241532928. Its totient is φ = 13420800.

The previous prime is 66883723. The next prime is 66883777. The reversal of 66883740 is 4738866.

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

It is a junction number, because it is equal to n+sod(n) for n = 66883692 and 66883701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142987 + ... + 143453.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 2^66883740 is an apocalyptic number.

66883740 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 66883740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464).

66883740 is an abundant number, since it is smaller than the sum of its proper divisors (174649188).

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

66883740 is a wasteful number, since it uses less digits than its factorization.

66883740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 66883740 is about 8178.2479786321. The cubic root of 66883740 is about 405.9197508568.

The spelling of 66883740 in words is "sixty-six million, eight hundred eighty-three thousand, seven hundred forty".