66948528 has 30 divisors (see below), whose sum is σ = 173096932. Its totient is φ = 22297280.

The previous prime is 66948521. The next prime is 66948529. The reversal of 66948528 is 82584966.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66948521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56098 + ... + 57278.

Almost surely, 2^66948528 is an apocalyptic number.

It is an amenable number.

66948528 is an abundant number, since it is smaller than the sum of its proper divisors (106148404).

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

66948528 is an equidigital number, since it uses as much as digits as its factorization.

66948528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 1186 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 66948528 is about 8182.2080149554. The cubic root of 66948528 is about 406.0507754368.

Multiplying 66948528 by its sum of digits (48), we get a square (3213529344 = 56688²).

66948528 divided by its sum of digits (48) gives a square (1394761 = 1181²).

It can be divided in two parts, 66948 and 528, that added together give a palindrome (67476).

The spelling of 66948528 in words is "sixty-six million, nine hundred forty-eight thousand, five hundred twenty-eight".