10077668 has 12 divisors (see below), whose sum is σ = 18673452. Its totient is φ = 4742400.

The previous prime is 10077667. The next prime is 10077689. The reversal of 10077668 is 86677001.

10077668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3717184 + 6360484 = 1928^2 + 2522^2 .

It is not an unprimeable number, because it can be changed into a prime (10077667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74033 + ... + 74168.

It is an arithmetic number, because the mean of its divisors is an integer number (1556121).

Almost surely, 2^10077668 is an apocalyptic number.

It is an amenable number.

10077668 is a deficient number, since it is larger than the sum of its proper divisors (8595784).

10077668 is a wasteful number, since it uses less digits than its factorization.

10077668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148222 (or 148220 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 10077668 is about 3174.5342965544. The cubic root of 10077668 is about 215.9997999541. Note that the first 3 decimals are identical.

The spelling of 10077668 in words is "ten million, seventy-seven thousand, six hundred sixty-eight".