87442560 has 384 divisors, whose sum is σ = 343699200. Its totient is φ = 20348928.

The previous prime is 87442549. The next prime is 87442583. The reversal of 87442560 is 6524478.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860457 + ... + 1860503.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^87442560 is an apocalyptic number.

87442560 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 87442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

87442560 is an abundant number, since it is smaller than the sum of its proper divisors (256256640).

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

87442560 is a wasteful number, since it uses less digits than its factorization.

87442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 87442560 is about 9351.0726657427. The cubic root of 87442560 is about 443.8548344523.

It can be divided in two parts, 874 and 42560, that added together give a palindrome (43434).

The spelling of 87442560 in words is "eighty-seven million, four hundred forty-two thousand, five hundred sixty".