87634344 has 96 divisors (see below), whose sum is σ = 260932320. Its totient is φ = 24441984.

The previous prime is 87634319. The next prime is 87634381. The reversal of 87634344 is 44343678.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49702 + ... + 51434.

It is an arithmetic number, because the mean of its divisors is an integer number (2718045).

Almost surely, 2^87634344 is an apocalyptic number.

87634344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87634344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130466160).

87634344 is an abundant number, since it is smaller than the sum of its proper divisors (173297976).

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

87634344 is a wasteful number, since it uses less digits than its factorization.

87634344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1788 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 87634344 is about 9361.3217015548. The cubic root of 87634344 is about 444.1790934027.

It can be divided in two parts, 87634 and 344, that added together give a palindrome (87978).

The spelling of 87634344 in words is "eighty-seven million, six hundred thirty-four thousand, three hundred forty-four".