10168992 has 144 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 3041280.

The previous prime is 10168987. The next prime is 10168993. The reversal of 10168992 is 29986101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10168993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151743 + ... + 151809.

It is an arithmetic number, because the mean of its divisors is an integer number (222768).

Almost surely, 2^10168992 is an apocalyptic number.

10168992 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 10168992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

10168992 is an abundant number, since it is smaller than the sum of its proper divisors (21909600).

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

10168992 is a wasteful number, since it uses less digits than its factorization.

10168992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 10168992 is about 3188.8856987982. The cubic root of 10168992 is about 216.6503035637.

The spelling of 10168992 in words is "ten million, one hundred sixty-eight thousand, nine hundred ninety-two".