87858720 has 288 divisors, whose sum is σ = 329395248. Its totient is φ = 21233664.

The previous prime is 87858713. The next prime is 87858733. The reversal of 87858720 is 2785878.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67174416 + 20684304 = 8196^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 905712 + ... + 905808.

Almost surely, 2^87858720 is an apocalyptic number.

87858720 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 87858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

87858720 is an abundant number, since it is smaller than the sum of its proper divisors (241536528).

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

87858720 is a wasteful number, since it uses less digits than its factorization.

87858720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 87858720 is about 9373.2982455484. The cubic root of 87858720 is about 444.5578573532.

The spelling of 87858720 in words is "eighty-seven million, eight hundred fifty-eight thousand, seven hundred twenty".