652767360 has 256 divisors, whose sum is σ = 2518698240. Its totient is φ = 140378112.

The previous prime is 652767359. The next prime is 652767419. The reversal of 652767360 is 63767256.

It is a super-2 number, since 2×652767360² = 852210452562739200, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 227052 + ... + 229908.

It is an arithmetic number, because the mean of its divisors is an integer number (9838665).

Almost surely, 2^652767360 is an apocalyptic number.

652767360 is a gapful number since it is divisible by the number (60) 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 652767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259349120).

652767360 is an abundant number, since it is smaller than the sum of its proper divisors (1865930880).

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

652767360 is a wasteful number, since it uses less digits than its factorization.

652767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 652767360 is about 25549.3123195126. The cubic root of 652767360 is about 867.4666958399.

The spelling of 652767360 in words is "six hundred fifty-two million, seven hundred sixty-seven thousand, three hundred sixty".