10075416 has 64 divisors (see below), whose sum is σ = 27793920. Its totient is φ = 3024000.

The previous prime is 10075411. The next prime is 10075421. The reversal of 10075416 is 61457001.

10075416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10075411) and next prime (10075421).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075411) 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, 13041 + ... + 13791.

It is an arithmetic number, because the mean of its divisors is an integer number (434280).

Almost surely, 2^10075416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896960).

10075416 is an abundant number, since it is smaller than the sum of its proper divisors (17718504).

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

10075416 is a wasteful number, since it uses less digits than its factorization.

10075416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10075416 is about 3174.1795790409. The cubic root of 10075416 is about 215.9837093338.

The spelling of 10075416 in words is "ten million, seventy-five thousand, four hundred sixteen".