52619616 has 144 divisors (see below), whose sum is σ = 175279104. Its totient is φ = 14660352.

The previous prime is 52619599. The next prime is 52619627. The reversal of 52619616 is 61691625.

52619616 is a `hidden beast` number, since 5 + 26 + 19 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 86385 + ... + 86991.

It is an arithmetic number, because the mean of its divisors is an integer number (1217216).

Almost surely, 2^52619616 is an apocalyptic number.

52619616 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 52619616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87639552).

52619616 is an abundant number, since it is smaller than the sum of its proper divisors (122659488).

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

52619616 is a wasteful number, since it uses less digits than its factorization.

52619616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 662 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 52619616 is about 7253.9379649953. The cubic root of 52619616 is about 374.7277811061.

It can be divided in two parts, 52619 and 616, that added together give a palindrome (53235).

The spelling of 52619616 in words is "fifty-two million, six hundred nineteen thousand, six hundred sixteen".