10392144 has 80 divisors (see below), whose sum is σ = 31033728. Its totient is φ = 2935296.

The previous prime is 10392139. The next prime is 10392157. The reversal of 10392144 is 44129301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52654 + ... + 52850.

Almost surely, 2^10392144 is an apocalyptic number.

10392144 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 10392144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15516864).

10392144 is an abundant number, since it is smaller than the sum of its proper divisors (20641584).

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

10392144 is a wasteful number, since it uses less digits than its factorization.

10392144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10392144 is about 3223.6848481202. The cubic root of 10392144 is about 218.2236013412.

The spelling of 10392144 in words is "ten million, three hundred ninety-two thousand, one hundred forty-four".