66668040 has 48 divisors (see below), whose sum is σ = 216672300. Its totient is φ = 17778048.

The previous prime is 66668029. The next prime is 66668051. The reversal of 66668040 is 4086666.

It is an interprime number because it is at equal distance from previous prime (66668029) and next prime (66668051).

It can be written as a sum of positive squares in 2 ways, for example, as 61496964 + 5171076 = 7842^2 + 2274^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66667986 and 66668004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92235 + ... + 92954.

Almost surely, 2^66668040 is an apocalyptic number.

66668040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66668040 is an abundant number, since it is smaller than the sum of its proper divisors (150004260).

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

66668040 is a wasteful number, since it uses less digits than its factorization.

66668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185206 (or 185199 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 66668040 is about 8165.0499079920. The cubic root of 66668040 is about 405.4829173160.

It can be divided in two parts, 6666 and 8040, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 66668040 in words is "sixty-six million, six hundred sixty-eight thousand, forty".