87741360 has 240 divisors, whose sum is σ = 351986400. Its totient is φ = 20030976.

The previous prime is 87741349. The next prime is 87741397. The reversal of 87741360 is 6314778.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 105426 + ... + 106254.

It is an arithmetic number, because the mean of its divisors is an integer number (1466610).

Almost surely, 2^87741360 is an apocalyptic number.

87741360 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 87741360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175993200).

87741360 is an abundant number, since it is smaller than the sum of its proper divisors (264245040).

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

87741360 is a wasteful number, since it uses less digits than its factorization.

87741360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 87741360 is about 9367.0358171622. The cubic root of 87741360 is about 444.3598251864.

The spelling of 87741360 in words is "eighty-seven million, seven hundred forty-one thousand, three hundred sixty".