89942688 has 216 divisors, whose sum is σ = 294102900. Its totient is φ = 26019840.

The previous prime is 89942683. The next prime is 89942707. The reversal of 89942688 is 88624998.

It can be written as a sum of positive squares in 2 ways, for example, as 87834384 + 2108304 = 9372^2 + 1452^2 .

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

It is not an unprimeable number, because it can be changed into a prime (89942681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1010548 + ... + 1010636.

Almost surely, 2^89942688 is an apocalyptic number.

89942688 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 89942688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147051450).

89942688 is an abundant number, since it is smaller than the sum of its proper divisors (204160212).

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

89942688 is a wasteful number, since it uses less digits than its factorization.

89942688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 89942688 is about 9483.8118918502. The cubic root of 89942688 is about 448.0453291719.

The spelling of 89942688 in words is "eighty-nine million, nine hundred forty-two thousand, six hundred eighty-eight".