66828735 has 24 divisors (see below), whose sum is σ = 116625600. Its totient is φ = 35399232.

The previous prime is 66828709. The next prime is 66828739. The reversal of 66828735 is 53782866.

It is not a de Polignac number, because 66828735 - 2¹⁴ = 66812351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66828739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722 + ... + 11688.

It is an arithmetic number, because the mean of its divisors is an integer number (4859400).

Almost surely, 2^66828735 is an apocalyptic number.

66828735 is a deficient number, since it is larger than the sum of its proper divisors (49796865).

66828735 is a wasteful number, since it uses less digits than its factorization.

66828735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10124 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 66828735 is about 8174.8844028524. The cubic root of 66828735 is about 405.8084445841.

It can be divided in two parts, 668 and 28735, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 66828735 in words is "sixty-six million, eight hundred twenty-eight thousand, seven hundred thirty-five".