8149600 has 72 divisors (see below), whose sum is σ = 20342448. Its totient is φ = 3187200.

The previous prime is 8149591. The next prime is 8149601. The reversal of 8149600 is 69418.

It is a hoax number, since the sum of its digits (28) 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 (8149601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48717 + ... + 48883.

It is an arithmetic number, because the mean of its divisors is an integer number (282534).

Almost surely, 2^8149600 is an apocalyptic number.

8149600 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 8149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171224).

8149600 is an abundant number, since it is smaller than the sum of its proper divisors (12192848).

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

8149600 is a wasteful number, since it uses less digits than its factorization.

8149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 8149600 is about 2854.7504269200. The cubic root of 8149600 is about 201.2389755158.

The spelling of 8149600 in words is "eight million, one hundred forty-nine thousand, six hundred".