10087680 has 144 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 2580480.

The previous prime is 10087669. The next prime is 10087687. The reversal of 10087680 is 8678001.

It is a super-2 number, since 2×10087680² = 203522575564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142045 + ... + 142115.

It is an arithmetic number, because the mean of its divisors is an integer number (233016).

Almost surely, 2^10087680 is an apocalyptic number.

10087680 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 10087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

10087680 is an abundant number, since it is smaller than the sum of its proper divisors (23466624).

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

10087680 is an equidigital number, since it uses as much as digits as its factorization.

10087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10087680 is about 3176.1108293005. The cubic root of 10087680 is about 216.0713070470.

The spelling of 10087680 in words is "ten million, eighty-seven thousand, six hundred eighty".