645782592 has 224 divisors, whose sum is σ = 2195730432. Its totient is φ = 162809856.

The previous prime is 645782551. The next prime is 645782593. The reversal of 645782592 is 295287546.

645782592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×645782592² = 834070312260476928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (645782593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401053 + ... + 402659.

It is an arithmetic number, because the mean of its divisors is an integer number (9802368).

Almost surely, 2^645782592 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 645782592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097865216).

645782592 is an abundant number, since it is smaller than the sum of its proper divisors (1549947840).

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

645782592 is a wasteful number, since it uses less digits than its factorization.

645782592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 645782592 is about 25412.2527926982. The cubic root of 645782592 is about 864.3615599244.

The spelling of 645782592 in words is "six hundred forty-five million, seven hundred eighty-two thousand, five hundred ninety-two".