10204992 has 84 divisors (see below), whose sum is σ = 33442656. Its totient is φ = 2914560.

The previous prime is 10204979. The next prime is 10205009. The reversal of 10204992 is 29940201.

10204992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

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, 2767 + ... + 5297.

Almost surely, 2^10204992 is an apocalyptic number.

10204992 is a gapful number since it is divisible by the number (12) 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 10204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721328).

10204992 is an abundant number, since it is smaller than the sum of its proper divisors (23237664).

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

10204992 is a wasteful number, since it uses less digits than its factorization.

10204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10204992 is about 3194.5253168507. The cubic root of 10204992 is about 216.9056623784.

The spelling of 10204992 in words is "ten million, two hundred four thousand, nine hundred ninety-two".