10677601 has 16 divisors (see below), whose sum is σ = 12533760. Its totient is φ = 8992080.

The previous prime is 10677599. The next prime is 10677607.

10677601 is nontrivially palindromic in base 10.

10677601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10677601 - 2¹ = 10677599 is a prime.

It is a super-2 number, since 2×10677601² = 228022326230402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10677601.

It is not an unprimeable number, because it can be changed into a prime (10677607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9280 + ... + 10366.

It is an arithmetic number, because the mean of its divisors is an integer number (783360).

Almost surely, 2^10677601 is an apocalyptic number.

10677601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10677601 is a deficient number, since it is larger than the sum of its proper divisors (1856159).

10677601 is a wasteful number, since it uses less digits than its factorization.

10677601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 10677601 is about 3267.6598660203. The cubic root of 10677601 is about 220.2036750168.

It can be divided in two parts, 1067 and 7601, that added together give a palindrome (8668).

The spelling of 10677601 in words is "ten million, six hundred seventy-seven thousand, six hundred one".