89138160 has 60 divisors (see below), whose sum is σ = 299358072. Its totient is φ = 23769984.

The previous prime is 89138131. The next prime is 89138171. The reversal of 89138160 is 6183198.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×89138160² = 15891223136371200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61182 + ... + 62621.

Almost surely, 2^89138160 is an apocalyptic number.

89138160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89138160 is an abundant number, since it is smaller than the sum of its proper divisors (210219912).

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

89138160 is a wasteful number, since it uses less digits than its factorization.

89138160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123822 (or 123813 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 89138160 is about 9441.3007578405. The cubic root of 89138160 is about 446.7054197707.

It can be divided in two parts, 89138 and 160, that added together give a palindrome (89298).

The spelling of 89138160 in words is "eighty-nine million, one hundred thirty-eight thousand, one hundred sixty".