87874644 has 96 divisors (see below), whose sum is σ = 246960000. Its totient is φ = 23961600.

The previous prime is 87874643. The next prime is 87874679. The reversal of 87874644 is 44647878.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87874593 and 87874602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87874643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69732 + ... + 70980.

It is an arithmetic number, because the mean of its divisors is an integer number (2572500).

Almost surely, 2^87874644 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 87874644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480000).

87874644 is an abundant number, since it is smaller than the sum of its proper divisors (159085356).

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

87874644 is a wasteful number, since it uses less digits than its factorization.

87874644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1319 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 87874644 is about 9374.1476412525. The cubic root of 87874644 is about 444.5847137718.

It can be divided in two parts, 8787 and 4644, that added together give a palindrome (13431).

The spelling of 87874644 in words is "eighty-seven million, eight hundred seventy-four thousand, six hundred forty-four".