89745720 has 256 divisors, whose sum is σ = 310262400. Its totient is φ = 20643840.

The previous prime is 89745697. The next prime is 89745739. The reversal of 89745720 is 2754798.

89745720 = T₂₁₈₄ + T₂₁₈₅ + ... + T₂₂₂₀.

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 63 ways as a sum of consecutive naturals, for example, 2188900 + ... + 2188940.

Almost surely, 2^89745720 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 89745720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

89745720 is an abundant number, since it is smaller than the sum of its proper divisors (220516680).

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

89745720 is a wasteful number, since it uses less digits than its factorization.

89745720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 89745720 is about 9473.4217682947. The cubic root of 89745720 is about 447.7180278142.

The spelling of 89745720 in words is "eighty-nine million, seven hundred forty-five thousand, seven hundred twenty".