66825528 has 64 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 17356800.

The previous prime is 66825523. The next prime is 66825529. The reversal of 66825528 is 82552866.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66825528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66825523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16233 + ... + 19928.

It is an arithmetic number, because the mean of its divisors is an integer number (3254580).

Almost surely, 2^66825528 is an apocalyptic number.

It is an amenable number.

66825528 is an abundant number, since it is smaller than the sum of its proper divisors (141467592).

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

66825528 is a wasteful number, since it uses less digits than its factorization.

66825528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36188 (or 36184 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 66825528 is about 8174.6882509365. The cubic root of 66825528 is about 405.8019531225.

It can be divided in two parts, 66825 and 528, that multiplied together give a square (35283600 = 5940²).

The spelling of 66825528 in words is "sixty-six million, eight hundred twenty-five thousand, five hundred twenty-eight".