87214848 has 72 divisors (see below), whose sum is σ = 265294848. Its totient is φ = 24916992.

The previous prime is 87214843. The next prime is 87214849. The reversal of 87214848 is 84841278.

It is a super-3 number, since 3×87214848³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (87214843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2736 + ... + 13487.

Almost surely, 2^87214848 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 87214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132647424).

87214848 is an abundant number, since it is smaller than the sum of its proper divisors (178080000).

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

87214848 is a wasteful number, since it uses less digits than its factorization.

87214848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16235 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 87214848 is about 9338.8890131535. The cubic root of 87214848 is about 443.4692139438.

The spelling of 87214848 in words is "eighty-seven million, two hundred fourteen thousand, eight hundred forty-eight".