84152544 has 96 divisors (see below), whose sum is σ = 255257856. Its totient is φ = 23777280.

The previous prime is 84152531. The next prime is 84152587. The reversal of 84152544 is 44525148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64539 + ... + 65829.

It is an arithmetic number, because the mean of its divisors is an integer number (2658936).

Almost surely, 2^84152544 is an apocalyptic number.

84152544 is a gapful number since it is divisible by the number (84) 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 84152544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127628928).

84152544 is an abundant number, since it is smaller than the sum of its proper divisors (171105312).

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

84152544 is a wasteful number, since it uses less digits than its factorization.

84152544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1400 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 84152544 is about 9173.4695726317. The cubic root of 84152544 is about 438.2168605644.

It can be divided in two parts, 84 and 152544, that added together give a triangular number (152628 = T₅₅₂).

The spelling of 84152544 in words is "eighty-four million, one hundred fifty-two thousand, five hundred forty-four".