885416000 has 224 divisors, whose sum is σ = 2547347712. Its totient is φ = 298598400.

The previous prime is 885415969. The next prime is 885416003. The reversal of 885416000 is 614588.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×885416000² = 1567922986112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (885416003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5431919 + ... + 5432081.

It is an arithmetic number, because the mean of its divisors is an integer number (11372088).

Almost surely, 2^885416000 is an apocalyptic number.

885416000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 885416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273673856).

885416000 is an abundant number, since it is smaller than the sum of its proper divisors (1661931712).

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

885416000 is a wasteful number, since it uses less digits than its factorization.

885416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 885416000 is about 29755.9405833524. The cubic root of 885416000 is about 960.2458860896.

The spelling of 885416000 in words is "eight hundred eighty-five million, four hundred sixteen thousand".