89167104 has 162 divisors, whose sum is σ = 279603870. Its totient is φ = 27316224.

The previous prime is 89167103. The next prime is 89167109. The reversal of 89167104 is 40176198.

It can be written as a sum of positive squares in 3 ways, for example, as 5992704 + 83174400 = 2448^2 + 9120^2 .

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 (89167103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389262 + ... + 389490.

Almost surely, 2^89167104 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 89167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139801935).

89167104 is an abundant number, since it is smaller than the sum of its proper divisors (190436766).

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

89167104 is a wasteful number, since it uses less digits than its factorization.

89167104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 89167104 is about 9442.8334730631. The cubic root of 89167104 is about 446.7537643573.

The spelling of 89167104 in words is "eighty-nine million, one hundred sixty-seven thousand, one hundred four".