5167456 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1959936.

The previous prime is 5167441. The next prime is 5167471. The reversal of 5167456 is 6547615.

5167456 = T₆₉₁ + T₆₉₂ + ... + T₇₁₁.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5167441) and next prime (5167471).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87555 + ... + 87613.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^5167456 is an apocalyptic number.

5167456 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 5167456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

5167456 is an abundant number, since it is smaller than the sum of its proper divisors (7896224).

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

5167456 is a wasteful number, since it uses less digits than its factorization.

5167456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 5167456 is about 2273.2039063841. The cubic root of 5167456 is about 172.8856428463.

The spelling of 5167456 in words is "five million, one hundred sixty-seven thousand, four hundred fifty-six".