10687677 has 32 divisors (see below), whose sum is σ = 19138560. Its totient is φ = 5123520.

The previous prime is 10687669. The next prime is 10687681. The reversal of 10687677 is 77678601.

10687677 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10687677 - 2³ = 10687669 is a prime.

It is a super-2 number, since 2×10687677² = 228452879312658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224 + ... + 4782.

It is an arithmetic number, because the mean of its divisors is an integer number (598080).

Almost surely, 2^10687677 is an apocalyptic number.

It is an amenable number.

10687677 is a deficient number, since it is larger than the sum of its proper divisors (8450883).

10687677 is a wasteful number, since it uses less digits than its factorization.

10687677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593.

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 10687677 is about 3269.2012786000. The cubic root of 10687677 is about 220.2729188689.

It can be divided in two parts, 106876 and 77, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 10687677 in words is "ten million, six hundred eighty-seven thousand, six hundred seventy-seven".