10538416 has 40 divisors (see below), whose sum is σ = 24355584. Its totient is φ = 4319040.

The previous prime is 10538413. The next prime is 10538417. The reversal of 10538416 is 61483501.

It is a super-2 number, since 2×10538416² = 222116423578112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10538413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 4621.

Almost surely, 2^10538416 is an apocalyptic number.

10538416 is a gapful number since it is divisible by the number (16) 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 10538416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177792).

10538416 is an abundant number, since it is smaller than the sum of its proper divisors (13817168).

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

10538416 is a wasteful number, since it uses less digits than its factorization.

10538416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 10538416 is about 3246.2926547063. The cubic root of 10538416 is about 219.2426853133.

The spelling of 10538416 in words is "ten million, five hundred thirty-eight thousand, four hundred sixteen".