84527352 has 288 divisors, whose sum is σ = 304995600. Its totient is φ = 20901888.

The previous prime is 84527347. The next prime is 84527419. The reversal of 84527352 is 25372548.

84527352 is a `hidden beast` number, since 84 + 527 + 3 + 52 = 666.

It is a super-2 number, since 2×84527352² = 14289746472263808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 871368 + ... + 871464.

Almost surely, 2^84527352 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 84527352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152497800).

84527352 is an abundant number, since it is smaller than the sum of its proper divisors (220468248).

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

84527352 is a wasteful number, since it uses less digits than its factorization.

84527352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 84527352 is about 9193.8757877187. The cubic root of 84527352 is about 438.8664901196.

The spelling of 84527352 in words is "eighty-four million, five hundred twenty-seven thousand, three hundred fifty-two".