89945640 has 320 divisors, whose sum is σ = 338722560. Its totient is φ = 21288960.

The previous prime is 89945629. The next prime is 89945683. The reversal of 89945640 is 4654998.

89945640 = T₃₄₉ + T₃₅₀ + ... + T₈₃₄.

It is a happy number.

89945640 is a `hidden beast` number, since 89 + 9 + 4 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1266805 + ... + 1266875.

It is an arithmetic number, because the mean of its divisors is an integer number (1058508).

Almost surely, 2^89945640 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 89945640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169361280).

89945640 is an abundant number, since it is smaller than the sum of its proper divisors (248776920).

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

89945640 is a wasteful number, since it uses less digits than its factorization.

89945640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 89945640 is about 9483.9675241958. The cubic root of 89945640 is about 448.0502308686.

The spelling of 89945640 in words is "eighty-nine million, nine hundred forty-five thousand, six hundred forty".