985254816 has 192 divisors, whose sum is σ = 3293740800. Its totient is φ = 250822656.

The previous prime is 985254811. The next prime is 985254821. The reversal of 985254816 is 618452589.

It is an interprime number because it is at equal distance from previous prime (985254811) and next prime (985254821).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (985254811) 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, 251400 + ... + 255288.

It is an arithmetic number, because the mean of its divisors is an integer number (17154900).

Almost surely, 2^985254816 is an apocalyptic number.

985254816 is a gapful number since it is divisible by the number (96) 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 985254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646870400).

985254816 is an abundant number, since it is smaller than the sum of its proper divisors (2308485984).

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

985254816 is a wasteful number, since it uses less digits than its factorization.

985254816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3943 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 985254816 is about 31388.7689468702. The cubic root of 985254816 is about 995.0605809768.

The spelling of 985254816 in words is "nine hundred eighty-five million, two hundred fifty-four thousand, eight hundred sixteen".