10874080 has 144 divisors (see below), whose sum is σ = 31888080. Its totient is φ = 3483648.

The previous prime is 10874077. The next prime is 10874117. The reversal of 10874080 is 8047801.

10874080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148924 + ... + 148996.

It is an arithmetic number, because the mean of its divisors is an integer number (221445).

Almost surely, 2^10874080 is an apocalyptic number.

10874080 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 10874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944040).

10874080 is an abundant number, since it is smaller than the sum of its proper divisors (21014000).

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

10874080 is a wasteful number, since it uses less digits than its factorization.

10874080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 10874080 is about 3297.5869965780. The cubic root of 10874080 is about 221.5461333011.

The spelling of 10874080 in words is "ten million, eight hundred seventy-four thousand, eighty".