8052635040 has 96 divisors (see below), whose sum is σ = 25494860160. Its totient is φ = 2136443904.

The previous prime is 8052635039. The next prime is 8052635057. The reversal of 8052635040 is 405362508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 8052634992 and 8052635010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51981 + ... + 137139.

It is an arithmetic number, because the mean of its divisors is an integer number (265571460).

Almost surely, 2^8052635040 is an apocalyptic number.

8052635040 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 8052635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12747430080).

8052635040 is an abundant number, since it is smaller than the sum of its proper divisors (17442225120).

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

8052635040 is a wasteful number, since it uses less digits than its factorization.

8052635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85374 (or 85366 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 8052635040 is about 89736.4755269561. The cubic root of 8052635040 is about 2004.3766687324.

Adding to 8052635040 its reverse (405362508), we get a palindrome (8457997548).

The spelling of 8052635040 in words is "eight billion, fifty-two million, six hundred thirty-five thousand, forty".