864858150 has 288 divisors, whose sum is σ = 2729825280. Its totient is φ = 194400000.

The previous prime is 864858149. The next prime is 864858151. The reversal of 864858150 is 51858468.

864858150 is a `hidden beast` number, since 8 + 64 + 8 + 581 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (864858149) and next prime (864858151).

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

It is a junction number, because it is equal to n+sod(n) for n = 864858096 and 864858105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864858151) 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 143 ways as a sum of consecutive naturals, for example, 3445525 + ... + 3445775.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^864858150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864858150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

864858150 is an abundant number, since it is smaller than the sum of its proper divisors (1864967130).

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

864858150 is a wasteful number, since it uses less digits than its factorization.

864858150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 864858150 is about 29408.4707184852. The cubic root of 864858150 is about 952.7558574448.

The spelling of 864858150 in words is "eight hundred sixty-four million, eight hundred fifty-eight thousand, one hundred fifty".