645337000 has 384 divisors, whose sum is σ = 2068934400. Its totient is φ = 182784000.

The previous prime is 645336977. The next prime is 645337003. The reversal of 645337000 is 733546.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 645337000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645337003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22252986 + ... + 22253014.

It is an arithmetic number, because the mean of its divisors is an integer number (5387850).

Almost surely, 2^645337000 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 645337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034467200).

645337000 is an abundant number, since it is smaller than the sum of its proper divisors (1423597400).

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

645337000 is a wasteful number, since it uses less digits than its factorization.

645337000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 645337000 is about 25403.4840130247. The cubic root of 645337000 is about 864.1627101255.

The spelling of 645337000 in words is "six hundred forty-five million, three hundred thirty-seven thousand".