801903648 has 288 divisors, whose sum is σ = 2727115776. Its totient is φ = 201636864.

The previous prime is 801903647. The next prime is 801903653. The reversal of 801903648 is 846309108.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (801903647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2611911 + ... + 2612217.

It is an arithmetic number, because the mean of its divisors is an integer number (9469152).

Almost surely, 2^801903648 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 801903648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363557888).

801903648 is an abundant number, since it is smaller than the sum of its proper divisors (1925212128).

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

801903648 is a wasteful number, since it uses less digits than its factorization.

801903648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 801903648 is about 28317.9033122158. The cubic root of 801903648 is about 929.0535127219.

It can be divided in two parts, 80190 and 3648, that added together give a palindrome (83838).

The spelling of 801903648 in words is "eight hundred one million, nine hundred three thousand, six hundred forty-eight".