87542532 has 240 divisors, whose sum is σ = 297601920. Its totient is φ = 21954240.

The previous prime is 87542513. The next prime is 87542599. The reversal of 87542532 is 23524578.

87542532 = T₃₄₃ + T₃₄₄ + ... + T₈₂₆.

87542532 is a `hidden beast` number, since 87 + 5 + 42 + 532 = 666.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3018694 + ... + 3018722.

It is an arithmetic number, because the mean of its divisors is an integer number (1240008).

Almost surely, 2^87542532 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 87542532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800960).

87542532 is an abundant number, since it is smaller than the sum of its proper divisors (210059388).

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

87542532 is a wasteful number, since it uses less digits than its factorization.

87542532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

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

The square root of 87542532 is about 9356.4166217628. The cubic root of 87542532 is about 444.0239212824.

The spelling of 87542532 in words is "eighty-seven million, five hundred forty-two thousand, five hundred thirty-two".