10702080 has 108 divisors (see below), whose sum is σ = 37067940. Its totient is φ = 2850816.

The previous prime is 10702079. The next prime is 10702093. The reversal of 10702080 is 8020701.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 9144576 = 1248^2 + 3024^2 .

It is a super-2 number, since 2×10702080² = 229069032652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11056 + ... + 11984.

Almost surely, 2^10702080 is an apocalyptic number.

10702080 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 10702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533970).

10702080 is an abundant number, since it is smaller than the sum of its proper divisors (26365860).

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

10702080 is an equidigital number, since it uses as much as digits as its factorization.

10702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10702080 is about 3271.4033685866. The cubic root of 10702080 is about 220.3718230168.

Adding to 10702080 its reverse (8020701), we get a palindrome (18722781).

The spelling of 10702080 in words is "ten million, seven hundred two thousand, eighty".