859364640 has 432 divisors, whose sum is σ = 3279092544. Its totient is φ = 212129280.

The previous prime is 859364621. The next prime is 859364647. The reversal of 859364640 is 46463958.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (859364647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27721425 + ... + 27721455.

It is an arithmetic number, because the mean of its divisors is an integer number (7590492).

Almost surely, 2^859364640 is an apocalyptic number.

859364640 is a gapful number since it is divisible by the number (80) 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 859364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639546272).

859364640 is an abundant number, since it is smaller than the sum of its proper divisors (2419727904).

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

859364640 is a wasteful number, since it uses less digits than its factorization.

859364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 859364640 is about 29314.9217976102. The cubic root of 859364640 is about 950.7342947059.

The spelling of 859364640 in words is "eight hundred fifty-nine million, three hundred sixty-four thousand, six hundred forty".