89450640 has 120 divisors (see below), whose sum is σ = 302153280. Its totient is φ = 23715072.

The previous prime is 89450597. The next prime is 89450653. The reversal of 89450640 is 4605498.

89450640 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 89450595 and 89450604.

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 23 ways as a sum of consecutive naturals, for example, 203541 + ... + 203979.

It is an arithmetic number, because the mean of its divisors is an integer number (2517944).

Almost surely, 2^89450640 is an apocalyptic number.

89450640 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 89450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076640).

89450640 is an abundant number, since it is smaller than the sum of its proper divisors (212702640).

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

89450640 is a wasteful number, since it uses less digits than its factorization.

89450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 89450640 is about 9457.8348473633. The cubic root of 89450640 is about 447.2267966103.

The spelling of 89450640 in words is "eighty-nine million, four hundred fifty thousand, six hundred forty".