5126016 has 64 divisors (see below), whose sum is σ = 15569280. Its totient is φ = 1463808.

The previous prime is 5126003. The next prime is 5126021. The reversal of 5126016 is 6106215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5125983 and 5126001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1735 + ... + 3641.

It is an arithmetic number, because the mean of its divisors is an integer number (243270).

Almost surely, 2^5126016 is an apocalyptic number.

5126016 is a gapful number since it is divisible by the number (56) 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 5126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784640).

5126016 is an abundant number, since it is smaller than the sum of its proper divisors (10443264).

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

5126016 is a wasteful number, since it uses less digits than its factorization.

5126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5126016 is about 2264.0706702751. The cubic root of 5126016 is about 172.4222544004.

The spelling of 5126016 in words is "five million, one hundred twenty-six thousand, sixteen".