89477136 has 150 divisors (see below), whose sum is σ = 301467870. Its totient is φ = 25546752.

The previous prime is 89477131. The next prime is 89477147. The reversal of 89477136 is 63177498.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 39690000 = 7056^2 + 6300^2 .

It is a super-3 number, since 3×89477136³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 89477091 and 89477100.

It is not an unprimeable number, because it can be changed into a prime (89477131) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62800 + ... + 64208.

Almost surely, 2^89477136 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 89477136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150733935).

89477136 is an abundant number, since it is smaller than the sum of its proper divisors (211990734).

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

89477136 is a wasteful number, since it uses less digits than its factorization.

89477136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1421 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 89477136 is about 9459.2354870782. The cubic root of 89477136 is about 447.2709496441.

The spelling of 89477136 in words is "eighty-nine million, four hundred seventy-seven thousand, one hundred thirty-six".