87890544 has 240 divisors, whose sum is σ = 311980032. Its totient is φ = 22505472.

The previous prime is 87890519. The next prime is 87890587. The reversal of 87890544 is 44509878.

It is a self number, because there is not a number n which added to its sum of digits gives 87890544.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 394017 + ... + 394239.

Almost surely, 2^87890544 is an apocalyptic number.

87890544 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 87890544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

87890544 is an abundant number, since it is smaller than the sum of its proper divisors (224089488).

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

87890544 is a wasteful number, since it uses less digits than its factorization.

87890544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87890544 is about 9374.9956799990. The cubic root of 87890544 is about 444.6115264765.

The spelling of 87890544 in words is "eighty-seven million, eight hundred ninety thousand, five hundred forty-four".