645257088 has 384 divisors, whose sum is σ = 2291328000. Its totient is φ = 173859840.

The previous prime is 645257071. The next prime is 645257113. The reversal of 645257088 is 880752546.

645257088 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 (384).

It is a super-2 number, since 2×645257088² = 832713419228479488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9088093 + ... + 9088163.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2^645257088 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 645257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145664000).

645257088 is an abundant number, since it is smaller than the sum of its proper divisors (1646070912).

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

645257088 is a wasteful number, since it uses less digits than its factorization.

645257088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 645257088 is about 25401.9111092059. The cubic root of 645257088 is about 864.1270389330.

The spelling of 645257088 in words is "six hundred forty-five million, two hundred fifty-seven thousand, eighty-eight".