652616352 has 288 divisors, whose sum is σ = 2080391040. Its totient is φ = 200724480.

The previous prime is 652616347. The next prime is 652616357. The reversal of 652616352 is 253616256.

It is a happy number.

652616352 is a `hidden beast` number, since 6 + 5 + 2 + 616 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (652616347) and next prime (652616357).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (652616357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7332724 + ... + 7332812.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2^652616352 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 652616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040195520).

652616352 is an abundant number, since it is smaller than the sum of its proper divisors (1427774688).

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

652616352 is a wasteful number, since it uses less digits than its factorization.

652616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 652616352 is about 25546.3569222698. The cubic root of 652616352 is about 867.3997988506.

The spelling of 652616352 in words is "six hundred fifty-two million, six hundred sixteen thousand, three hundred fifty-two".