8106850400 has 72 divisors (see below), whose sum is σ = 21590040024. Its totient is φ = 2947942400.

The previous prime is 8106850397. The next prime is 8106850429. The reversal of 8106850400 is 40586018.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451817 + ... + 469416.

It is an arithmetic number, because the mean of its divisors is an integer number (299861667).

Almost surely, 2^8106850400 is an apocalyptic number.

8106850400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8106850400 is an abundant number, since it is smaller than the sum of its proper divisors (13483189624).

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

8106850400 is a wasteful number, since it uses less digits than its factorization.

8106850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921264 (or 921251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8106850400 is about 90038.0497345428. The cubic root of 8106850400 is about 2008.8648491705.

The spelling of 8106850400 in words is "eight billion, one hundred six million, eight hundred fifty thousand, four hundred".