10692144 has 60 divisors (see below), whose sum is σ = 30669912. Its totient is φ = 3475200.

The previous prime is 10692131. The next prime is 10692151. The reversal of 10692144 is 44129601.

It is a super-2 number, since 2×10692144² = 228643886633472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4999 + ... + 6809.

Almost surely, 2^10692144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10692144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334956).

10692144 is an abundant number, since it is smaller than the sum of its proper divisors (19977768).

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

10692144 is a wasteful number, since it uses less digits than its factorization.

10692144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10692144 is about 3269.8844016265. The cubic root of 10692144 is about 220.3036028699.

The spelling of 10692144 in words is "ten million, six hundred ninety-two thousand, one hundred forty-four".