10414080 has 144 divisors (see below), whose sum is σ = 36412740. Its totient is φ = 2752512.

The previous prime is 10414073. The next prime is 10414091. The reversal of 10414080 is 8041401.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 1557504 = 2976^2 + 1248^2 .

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 (18).

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, 92104 + ... + 92216.

Almost surely, 2^10414080 is an apocalyptic number.

10414080 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 10414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206370).

10414080 is an abundant number, since it is smaller than the sum of its proper divisors (25998660).

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

10414080 is a wasteful number, since it uses less digits than its factorization.

10414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10414080 is about 3227.0853722825. The cubic root of 10414080 is about 218.3770373958.

Adding to 10414080 its reverse (8041401), we get a palindrome (18455481).

The spelling of 10414080 in words is "ten million, four hundred fourteen thousand, eighty".