867898416 has 320 divisors, whose sum is σ = 3119800320. Its totient is φ = 200724480.

The previous prime is 867898403. The next prime is 867898417. The reversal of 867898416 is 614898768.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (867898417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1193445 + ... + 1194171.

It is an arithmetic number, because the mean of its divisors is an integer number (9749376).

Almost surely, 2^867898416 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 867898416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

867898416 is an abundant number, since it is smaller than the sum of its proper divisors (2251901904).

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

867898416 is a wasteful number, since it uses less digits than its factorization.

867898416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 867898416 is about 29460.1156820539. The cubic root of 867898416 is about 953.8709704235.

The spelling of 867898416 in words is "eight hundred sixty-seven million, eight hundred ninety-eight thousand, four hundred sixteen".