87854144 has 56 divisors (see below), whose sum is σ = 204142848. Its totient is φ = 36725760.

The previous prime is 87854131. The next prime is 87854167. The reversal of 87854144 is 44145878.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15977 + ... + 20759.

It is an arithmetic number, because the mean of its divisors is an integer number (3645408).

Almost surely, 2^87854144 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 87854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102071424).

87854144 is an abundant number, since it is smaller than the sum of its proper divisors (116288704).

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

87854144 is a wasteful number, since it uses less digits than its factorization.

87854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4833 counting only the distinct ones).

The product of its digits is 143360, while the sum is 41.

The square root of 87854144 is about 9373.0541447279. The cubic root of 87854144 is about 444.5501391587.

The spelling of 87854144 in words is "eighty-seven million, eight hundred fifty-four thousand, one hundred forty-four".