66627405 has 36 divisors (see below), whose sum is σ = 125068788. Its totient is φ = 32797440.

The previous prime is 66627359. The next prime is 66627409. The reversal of 66627405 is 50472666.

It can be written as a sum of positive squares in 6 ways, for example, as 28323684 + 38303721 = 5322^2 + 6189^2 .

It is not a de Polignac number, because 66627405 - 2⁸ = 66627149 is a prime.

It is a super-2 number, since 2×66627405² = 8878422194068050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66627405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66627409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225 + ... + 11985.

It is an arithmetic number, because the mean of its divisors is an integer number (3474133).

Almost surely, 2^66627405 is an apocalyptic number.

66627405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66627405 is a deficient number, since it is larger than the sum of its proper divisors (58441383).

66627405 is a wasteful number, since it uses less digits than its factorization.

66627405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66627405 is about 8162.5611789438. The cubic root of 66627405 is about 405.4005182780.

The spelling of 66627405 in words is "sixty-six million, six hundred twenty-seven thousand, four hundred five".