89036640 has 432 divisors, whose sum is σ = 386908704. Its totient is φ = 18247680.

The previous prime is 89036621. The next prime is 89036653. The reversal of 89036640 is 4663098.

89036640 is a `hidden beast` number, since 8 + 9 + 0 + 3 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 89036595 and 89036604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219644 + ... + 1219716.

It is an arithmetic number, because the mean of its divisors is an integer number (895622).

Almost surely, 2^89036640 is an apocalyptic number.

89036640 is a gapful number since it is divisible by the number (80) 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 89036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193454352).

89036640 is an abundant number, since it is smaller than the sum of its proper divisors (297872064).

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

89036640 is a wasteful number, since it uses less digits than its factorization.

89036640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 89036640 is about 9435.9228483493. The cubic root of 89036640 is about 446.5357701639.

It can be divided in two parts, 89036 and 640, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 89036640 in words is "eighty-nine million, thirty-six thousand, six hundred forty".