985271040 has 720 divisors, whose sum is σ = 4113492768. Its totient is φ = 222953472.

The previous prime is 985271003. The next prime is 985271051. The reversal of 985271040 is 40172589.

985271040 is a `hidden beast` number, since 98 + 527 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 985270986 and 985271004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22913259 + ... + 22913301.

Almost surely, 2^985271040 is an apocalyptic number.

985271040 is a gapful number since it is divisible by the number (90) 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 985271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056746384).

985271040 is an abundant number, since it is smaller than the sum of its proper divisors (3128221728).

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

985271040 is a wasteful number, since it uses less digits than its factorization.

985271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 985271040 is about 31389.0273821920. The cubic root of 985271040 is about 995.0660427700.

The spelling of 985271040 in words is "nine hundred eighty-five million, two hundred seventy-one thousand, forty".