66738960 has 60 divisors (see below), whose sum is σ = 224134092. Its totient is φ = 17796864.

The previous prime is 66738943. The next prime is 66738979. The reversal of 66738960 is 6983766.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 52359696 = 3792^2 + 7236^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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, 45627 + ... + 47066.

Almost surely, 2^66738960 is an apocalyptic number.

66738960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66738960 is an abundant number, since it is smaller than the sum of its proper divisors (157395132).

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

66738960 is a wasteful number, since it uses less digits than its factorization.

66738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92712 (or 92703 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66738960 is about 8169.3916542176. The cubic root of 66738960 is about 405.6266476429.

The spelling of 66738960 in words is "sixty-six million, seven hundred thirty-eight thousand, nine hundred sixty".