803064960 has 192 divisors, whose sum is σ = 2801148480. Its totient is φ = 211986432.

The previous prime is 803064959. The next prime is 803064967. The reversal of 803064960 is 69460308.

803064960 is a `hidden beast` number, since 8 + 0 + 3 + 0 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (803064967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615669 + ... + 616971.

It is an arithmetic number, because the mean of its divisors is an integer number (14589315).

Almost surely, 2^803064960 is an apocalyptic number.

803064960 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 803064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400574240).

803064960 is an abundant number, since it is smaller than the sum of its proper divisors (1998083520).

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

803064960 is a wasteful number, since it uses less digits than its factorization.

803064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 803064960 is about 28338.4008017390. The cubic root of 803064960 is about 929.5017796200.

The spelling of 803064960 in words is "eight hundred three million, sixty-four thousand, nine hundred sixty".