801513648 has 120 divisors (see below), whose sum is σ = 2455624080. Its totient is φ = 242542080.

The previous prime is 801513631. The next prime is 801513659. The reversal of 801513648 is 846315108.

801513648 is a `hidden beast` number, since 8 + 0 + 1 + 5 + 1 + 3 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110683 + ... + 117701.

It is an arithmetic number, because the mean of its divisors is an integer number (20463534).

Almost surely, 2^801513648 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 801513648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227812040).

801513648 is an abundant number, since it is smaller than the sum of its proper divisors (1654110432).

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

801513648 is a wasteful number, since it uses less digits than its factorization.

801513648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 801513648 is about 28311.0163717236. The cubic root of 801513648 is about 928.9028754952.

The spelling of 801513648 in words is "eight hundred one million, five hundred thirteen thousand, six hundred forty-eight".