84561900 has 72 divisors (see below), whose sum is σ = 245859264. Its totient is φ = 22440000.

The previous prime is 84561899. The next prime is 84561907. The reversal of 84561900 is 916548.

It is a super-2 number, since 2×84561900² = 14301429863220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84561907) 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, 74739 + ... + 75861.

It is an arithmetic number, because the mean of its divisors is an integer number (3414712).

Almost surely, 2^84561900 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 84561900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122929632).

84561900 is an abundant number, since it is smaller than the sum of its proper divisors (161297364).

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

84561900 is a wasteful number, since it uses less digits than its factorization.

84561900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 84561900 is about 9195.7544551820. The cubic root of 84561900 is about 438.9262731127.

The spelling of 84561900 in words is "eighty-four million, five hundred sixty-one thousand, nine hundred".