887193216 has 576 divisors, whose sum is σ = 3404678400. Its totient is φ = 226437120.

The previous prime is 887193193. The next prime is 887193227. The reversal of 887193216 is 612391788.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×887193216² = 1574223605032845312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (145152) is a multiple of the sum of its prime divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28619121 + ... + 28619151.

It is an arithmetic number, because the mean of its divisors is an integer number (5910900).

Almost surely, 2^887193216 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 887193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702339200).

887193216 is an abundant number, since it is smaller than the sum of its proper divisors (2517485184).

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

887193216 is a wasteful number, since it uses less digits than its factorization.

887193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 56 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 887193216 is about 29785.7888262171. The cubic root of 887193216 is about 960.8879284791.

The spelling of 887193216 in words is "eight hundred eighty-seven million, one hundred ninety-three thousand, two hundred sixteen".