87744888 has 384 divisors, whose sum is σ = 336960000. Its totient is φ = 20321280.

The previous prime is 87744883. The next prime is 87744889. The reversal of 87744888 is 88844778.

It is a happy number.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87744883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4618143 + ... + 4618161.

It is an arithmetic number, because the mean of its divisors is an integer number (877500).

Almost surely, 2^87744888 is an apocalyptic number.

87744888 is a gapful number since it is divisible by the number (88) 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 87744888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480000).

87744888 is an abundant number, since it is smaller than the sum of its proper divisors (249215112).

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

87744888 is a wasteful number, since it uses less digits than its factorization.

87744888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 87744888 is about 9367.2241352495. The cubic root of 87744888 is about 444.3657808742.

The spelling of 87744888 in words is "eighty-seven million, seven hundred forty-four thousand, eight hundred eighty-eight".