864154200 has 768 divisors, whose sum is σ = 3749760000. Its totient is φ = 162570240.

The previous prime is 864154199. The next prime is 864154201. The reversal of 864154200 is 2451468.

It is an interprime number because it is at equal distance from previous prime (864154199) and next prime (864154201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864154201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45481791 + ... + 45481809.

It is an arithmetic number, because the mean of its divisors is an integer number (4882500).

Almost surely, 2^864154200 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 864154200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880000).

864154200 is an abundant number, since it is smaller than the sum of its proper divisors (2885605800).

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

864154200 is a wasteful number, since it uses less digits than its factorization.

864154200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 864154200 is about 29396.4997916419. The cubic root of 864154200 is about 952.4972892091.

The spelling of 864154200 in words is "eight hundred sixty-four million, one hundred fifty-four thousand, two hundred".