10682364 has 72 divisors (see below), whose sum is σ = 31341184. Its totient is φ = 2772000.

The previous prime is 10682339. The next prime is 10682387. The reversal of 10682364 is 46328601.

It is a super-2 number, since 2×10682364² = 228225801256992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9639 + ... + 10689.

Almost surely, 2^10682364 is an apocalyptic number.

10682364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10682364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15670592).

10682364 is an abundant number, since it is smaller than the sum of its proper divisors (20658820).

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

10682364 is a wasteful number, since it uses less digits than its factorization.

10682364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1074 counting only the distinct ones).

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

The square root of 10682364 is about 3268.3885937875. The cubic root of 10682364 is about 220.2364125262.

The spelling of 10682364 in words is "ten million, six hundred eighty-two thousand, three hundred sixty-four".