89742016 has 112 divisors (see below), whose sum is σ = 230997760. Its totient is φ = 33592320.

The previous prime is 89742013. The next prime is 89742017. The reversal of 89742016 is 61024798.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (89742013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110251 + ... + 111061.

It is an arithmetic number, because the mean of its divisors is an integer number (2062480).

Almost surely, 2^89742016 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 89742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115498880).

89742016 is an abundant number, since it is smaller than the sum of its proper divisors (141255744).

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

89742016 is a wasteful number, since it uses less digits than its factorization.

89742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 89742016 is about 9473.2262719730. The cubic root of 89742016 is about 447.7118682989.

The spelling of 89742016 in words is "eighty-nine million, seven hundred forty-two thousand, sixteen".