87805440 has 240 divisors, whose sum is σ = 315345888. Its totient is φ = 22560768.

The previous prime is 87805439. The next prime is 87805483. The reversal of 87805440 is 4450878.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 87805395 and 87805404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852429 + ... + 852531.

Almost surely, 2^87805440 is an apocalyptic number.

87805440 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 87805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157672944).

87805440 is an abundant number, since it is smaller than the sum of its proper divisors (227540448).

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

87805440 is a wasteful number, since it uses less digits than its factorization.

87805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 87805440 is about 9370.4556986307. The cubic root of 87805440 is about 444.4679750505.

The spelling of 87805440 in words is "eighty-seven million, eight hundred five thousand, four hundred forty".