89746240 has 112 divisors (see below), whose sum is σ = 225308160. Its totient is φ = 34007040.

The previous prime is 89746229. The next prime is 89746249. The reversal of 89746240 is 4264798.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 89746193 and 89746202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89746249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823306 + ... + 823414.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2^89746240 is an apocalyptic number.

89746240 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 89746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

89746240 is an abundant number, since it is smaller than the sum of its proper divisors (135561920).

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

89746240 is a wasteful number, since it uses less digits than its factorization.

89746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 89746240 is about 9473.4492134597. The cubic root of 89746240 is about 447.7188925274.

The spelling of 89746240 in words is "eighty-nine million, seven hundred forty-six thousand, two hundred forty".