802638648 has 96 divisors (see below), whose sum is σ = 2488412160. Its totient is φ = 228951360.

The previous prime is 802638647. The next prime is 802638649. The reversal of 802638648 is 846836208.

It is a happy number.

802638648 is a `hidden beast` number, since 8 + 0 + 2 + 638 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (802638647) and next prime (802638649).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802638643) 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, 498661 + ... + 500267.

It is an arithmetic number, because the mean of its divisors is an integer number (25920960).

Almost surely, 2^802638648 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 802638648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244206080).

802638648 is an abundant number, since it is smaller than the sum of its proper divisors (1685773512).

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

802638648 is a wasteful number, since it uses less digits than its factorization.

802638648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 802638648 is about 28330.8779955723. The cubic root of 802638648 is about 929.3372732510.

The spelling of 802638648 in words is "eight hundred two million, six hundred thirty-eight thousand, six hundred forty-eight".