5134416 has 120 divisors (see below), whose sum is σ = 16115040. Its totient is φ = 1403136.

The previous prime is 5134373. The next prime is 5134417. The reversal of 5134416 is 6144315.

It is a super-2 number, since 2×5134416² = 52724455322112, which contains 22 as substring.

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 (5134417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86995 + ... + 87053.

It is an arithmetic number, because the mean of its divisors is an integer number (134292).

Almost surely, 2^5134416 is an apocalyptic number.

5134416 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 5134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057520).

5134416 is an abundant number, since it is smaller than the sum of its proper divisors (10980624).

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

5134416 is a wasteful number, since it uses less digits than its factorization.

5134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 5134416 is about 2265.9249766927. The cubic root of 5134416 is about 172.5163857571.

It can be divided in two parts, 51344 and 16, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 5134416 in words is "five million, one hundred thirty-four thousand, four hundred sixteen".