868167300 has 576 divisors, whose sum is σ = 3499776000. Its totient is φ = 163699200.

The previous prime is 868167299. The next prime is 868167347. The reversal of 868167300 is 3761868.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14714671 + ... + 14714729.

It is an arithmetic number, because the mean of its divisors is an integer number (6076000).

Almost surely, 2^868167300 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 868167300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888000).

868167300 is an abundant number, since it is smaller than the sum of its proper divisors (2631608700).

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

868167300 is a wasteful number, since it uses less digits than its factorization.

868167300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 868167300 is about 29464.6788545200. The cubic root of 868167300 is about 953.9694666511.

The spelling of 868167300 in words is "eight hundred sixty-eight million, one hundred sixty-seven thousand, three hundred".