88441416 has 128 divisors (see below), whose sum is σ = 290592000. Its totient is φ = 24385536.

The previous prime is 88441373. The next prime is 88441421. The reversal of 88441416 is 61414488.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 42840 + ... + 44856.

It is an arithmetic number, because the mean of its divisors is an integer number (2270250).

Almost surely, 2^88441416 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 88441416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145296000).

88441416 is an abundant number, since it is smaller than the sum of its proper divisors (202150584).

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

88441416 is a wasteful number, since it uses less digits than its factorization.

88441416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2058 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 88441416 is about 9404.3296411812. The cubic root of 88441416 is about 445.5384904789.

The spelling of 88441416 in words is "eighty-eight million, four hundred forty-one thousand, four hundred sixteen".