52617344 has 64 divisors (see below), whose sum is σ = 114354240. Its totient is φ = 23970816.

The previous prime is 52617343. The next prime is 52617347. The reversal of 52617344 is 44371625.

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

It is a super-2 number, since 2×52617344² = 5537169779228672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 52617344.

It is not an unprimeable number, because it can be changed into a prime (52617343) 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, 171239 + ... + 171545.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 2^52617344 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 52617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57177120).

52617344 is an abundant number, since it is smaller than the sum of its proper divisors (61736896).

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

52617344 is a wasteful number, since it uses less digits than its factorization.

52617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 52617344 is about 7253.7813587122. The cubic root of 52617344 is about 374.7223877197.

Adding to 52617344 its reverse (44371625), we get a palindrome (96988969).

The spelling of 52617344 in words is "fifty-two million, six hundred seventeen thousand, three hundred forty-four".