89462016 has 216 divisors, whose sum is σ = 309543360. Its totient is φ = 24966144.

The previous prime is 89461997. The next prime is 89462017. The reversal of 89462016 is 61026498.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89462017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080491 + ... + 2080533.

Almost surely, 2^89462016 is an apocalyptic number.

89462016 is a gapful number since it is divisible by the number (86) 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 89462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771680).

89462016 is an abundant number, since it is smaller than the sum of its proper divisors (220081344).

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

89462016 is an equidigital number, since it uses as much as digits as its factorization.

89462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89462016 is about 9458.4362343889. The cubic root of 89462016 is about 447.2457546873.

The spelling of 89462016 in words is "eighty-nine million, four hundred sixty-two thousand, sixteen".