87378534 has 64 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 27993600.

The previous prime is 87378527. The next prime is 87378539. The reversal of 87378534 is 43587378.

87378534 is a `hidden beast` number, since 87 + 37 + 8 + 534 = 666.

Its product of digits (564480) is a multiple of the sum of its prime divisors (576).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87378534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87378539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201582 + ... + 202014.

It is an arithmetic number, because the mean of its divisors is an integer number (3154095).

Almost surely, 2^87378534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87378534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

87378534 is an abundant number, since it is smaller than the sum of its proper divisors (114483546).

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

87378534 is a wasteful number, since it uses less digits than its factorization.

87378534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 87378534 is about 9347.6485813278. The cubic root of 87378534 is about 443.7464768880.

It can be divided in two parts, 8737 and 8534, that added together give a palindrome (17271).

The spelling of 87378534 in words is "eighty-seven million, three hundred seventy-eight thousand, five hundred thirty-four".