84527400 has 96 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 21212160.

The previous prime is 84527347. The next prime is 84527419. The reversal of 84527400 is 472548.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6057 + ... + 14343.

It is an arithmetic number, because the mean of its divisors is an integer number (2890440).

Almost surely, 2^84527400 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 84527400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

84527400 is an abundant number, since it is smaller than the sum of its proper divisors (192954840).

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

84527400 is a wasteful number, since it uses less digits than its factorization.

84527400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 84527400 is about 9193.8783981517. The cubic root of 84527400 is about 438.8665731916.

Adding to 84527400 its reverse (472548), we get a palindrome (84999948).

The spelling of 84527400 in words is "eighty-four million, five hundred twenty-seven thousand, four hundred".