8242900 has 36 divisors (see below), whose sum is σ = 18471040. Its totient is φ = 3189600.

The previous prime is 8242889. The next prime is 8242919. The reversal of 8242900 is 92428.

8242900 = T₃₅₅ + T₃₅₆ + ... + T₄₅₄.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1771 + ... + 4429.

Almost surely, 2^8242900 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 8242900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235520).

8242900 is an abundant number, since it is smaller than the sum of its proper divisors (10228140).

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

8242900 is a wasteful number, since it uses less digits than its factorization.

8242900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8242900 is about 2871.0451058804. The cubic root of 8242900 is about 202.0040191338.

The spelling of 8242900 in words is "eight million, two hundred forty-two thousand, nine hundred".