66114624 has 28 divisors (see below), whose sum is σ = 174928784. Its totient is φ = 22038144.

The previous prime is 66114613. The next prime is 66114641. The reversal of 66114624 is 42641166.

It is a super-2 number, since 2×66114624² = 8742287013322752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66114591 and 66114600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171982 + ... + 172365.

Almost surely, 2^66114624 is an apocalyptic number.

66114624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66114624 is an abundant number, since it is smaller than the sum of its proper divisors (108814160).

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

66114624 is a wasteful number, since it uses less digits than its factorization.

66114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344362 (or 344352 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66114624 is about 8131.0899638363. The cubic root of 66114624 is about 404.3578178150.

The spelling of 66114624 in words is "sixty-six million, one hundred fourteen thousand, six hundred twenty-four".