87541440 has 168 divisors, whose sum is σ = 323496432. Its totient is φ = 19998720.

The previous prime is 87541423. The next prime is 87541453. The reversal of 87541440 is 4414578.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 46110 + ... + 47970.

It is an arithmetic number, because the mean of its divisors is an integer number (1925574).

Almost surely, 2^87541440 is an apocalyptic number.

87541440 is a gapful number since it is divisible by the number (80) 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 87541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161748216).

87541440 is an abundant number, since it is smaller than the sum of its proper divisors (235954992).

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

87541440 is a wasteful number, since it uses less digits than its factorization.

87541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 87541440 is about 9356.3582659067. The cubic root of 87541440 is about 444.0220750326.

The spelling of 87541440 in words is "eighty-seven million, five hundred forty-one thousand, four hundred forty".