87744384 has 384 divisors, whose sum is σ = 332666880. Its totient is φ = 22394880.

The previous prime is 87744383. The next prime is 87744407. The reversal of 87744384 is 48344778.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (602112) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87744383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830449 + ... + 2830479.

It is an arithmetic number, because the mean of its divisors is an integer number (866320).

Almost surely, 2^87744384 is an apocalyptic number.

87744384 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 87744384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166333440).

87744384 is an abundant number, since it is smaller than the sum of its proper divisors (244922496).

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

87744384 is a wasteful number, since it uses less digits than its factorization.

87744384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 87744384 is about 9367.1972328974. The cubic root of 87744384 is about 444.3649300714.

The spelling of 87744384 in words is "eighty-seven million, seven hundred forty-four thousand, three hundred eighty-four".