52289664 has 128 divisors (see below), whose sum is σ = 162384000. Its totient is φ = 14902272.

The previous prime is 52289663. The next prime is 52289669. The reversal of 52289664 is 46698225.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×52289664² = 5468417922465792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52289663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131514 + ... + 131910.

It is an arithmetic number, because the mean of its divisors is an integer number (1268625).

Almost surely, 2^52289664 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 52289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81192000).

52289664 is an abundant number, since it is smaller than the sum of its proper divisors (110094336).

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

52289664 is an equidigital number, since it uses as much as digits as its factorization.

52289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 409 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 52289664 is about 7231.1592431643. The cubic root of 52289664 is about 373.9428930889.

The spelling of 52289664 in words is "fifty-two million, two hundred eighty-nine thousand, six hundred sixty-four".