87042816 has 216 divisors, whose sum is σ = 300590640. Its totient is φ = 24772608.

The previous prime is 87042803. The next prime is 87042817. The reversal of 87042816 is 61824078.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (87042817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338560 + ... + 338816.

Almost surely, 2^87042816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150295320).

87042816 is an abundant number, since it is smaller than the sum of its proper divisors (213547824).

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

87042816 is a wasteful number, since it uses less digits than its factorization.

87042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87042816 is about 9329.6739492868. The cubic root of 87042816 is about 443.1774398018.

The spelling of 87042816 in words is "eighty-seven million, forty-two thousand, eight hundred sixteen".