87874444 has 72 divisors (see below), whose sum is σ = 189489888. Its totient is φ = 35481600.

The previous prime is 87874433. The next prime is 87874447. The reversal of 87874444 is 44447878.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 87874394 and 87874403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87874447) 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, 455212 + ... + 455404.

It is an arithmetic number, because the mean of its divisors is an integer number (2631804).

Almost surely, 2^87874444 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 87874444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94744944).

87874444 is an abundant number, since it is smaller than the sum of its proper divisors (101615444).

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

87874444 is a wasteful number, since it uses less digits than its factorization.

87874444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its digits is 802816, while the sum is 46.

The square root of 87874444 is about 9374.1369736099. The cubic root of 87874444 is about 444.5843764845.

It can be divided in two parts, 8787 and 4444, that added together give a palindrome (13231).

The spelling of 87874444 in words is "eighty-seven million, eight hundred seventy-four thousand, four hundred forty-four".