652440096 has 360 divisors, whose sum is σ = 2440213776. Its totient is φ = 169102080.

The previous prime is 652440091. The next prime is 652440121. The reversal of 652440096 is 690044256.

652440096 is a `hidden beast` number, since 6 + 524 + 40 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 652440096.

It is not an unprimeable number, because it can be changed into a prime (652440091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1396855 + ... + 1397321.

Almost surely, 2^652440096 is an apocalyptic number.

652440096 is a gapful number since it is divisible by the number (66) 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 652440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220106888).

652440096 is an abundant number, since it is smaller than the sum of its proper divisors (1787773680).

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

652440096 is a wasteful number, since it uses less digits than its factorization.

652440096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 652440096 is about 25542.9069606417. The cubic root of 652440096 is about 867.3217038697.

The spelling of 652440096 in words is "six hundred fifty-two million, four hundred forty thousand, ninety-six".