10684288 has 16 divisors (see below), whose sum is σ = 21285360. Its totient is φ = 5342080.

The previous prime is 10684283. The next prime is 10684291. The reversal of 10684288 is 88248601.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×10684288² = 228308020133888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10684283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41608 + ... + 41863.

It is an arithmetic number, because the mean of its divisors is an integer number (1330335).

Almost surely, 2^10684288 is an apocalyptic number.

It is an amenable number.

10684288 is a deficient number, since it is larger than the sum of its proper divisors (10601072).

10684288 is an frugal number, since it uses more digits than its factorization.

10684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83485 (or 83473 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 10684288 is about 3268.6829151816. The cubic root of 10684288 is about 220.2496339886.

It can be divided in two parts, 1068 and 4288, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 10684288 in words is "ten million, six hundred eighty-four thousand, two hundred eighty-eight".