66742140 has 24 divisors (see below), whose sum is σ = 186878160. Its totient is φ = 17797888.

The previous prime is 66742103. The next prime is 66742141. The reversal of 66742140 is 4124766.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66742098 and 66742107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66742141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556125 + ... + 556244.

It is an arithmetic number, because the mean of its divisors is an integer number (7786590).

Almost surely, 2^66742140 is an apocalyptic number.

66742140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66742140 is an abundant number, since it is smaller than the sum of its proper divisors (120136020).

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

66742140 is a wasteful number, since it uses less digits than its factorization.

66742140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112381 (or 1112379 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 66742140 is about 8169.5862808345. The cubic root of 66742140 is about 405.6330900181.

The spelling of 66742140 in words is "sixty-six million, seven hundred forty-two thousand, one hundred forty".