10092680 has 48 divisors (see below), whose sum is σ = 24606180. Its totient is φ = 3724032.

The previous prime is 10092671. The next prime is 10092707. The reversal of 10092680 is 8629001.

It can be written as a sum of positive squares in 6 ways, for example, as 2617924 + 7474756 = 1618^2 + 2734^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 6014 + ... + 7506.

Almost surely, 2^10092680 is an apocalyptic number.

10092680 is a gapful number since it is divisible by the number (10) 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 10092680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303090).

10092680 is an abundant number, since it is smaller than the sum of its proper divisors (14513500).

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

10092680 is a wasteful number, since it uses less digits than its factorization.

10092680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10092680 is about 3176.8978579740. The cubic root of 10092680 is about 216.1070000273.

The spelling of 10092680 in words is "ten million, ninety-two thousand, six hundred eighty".