89303040 has 384 divisors, whose sum is σ = 353808000. Its totient is φ = 21233664.

The previous prime is 89303029. The next prime is 89303063. The reversal of 89303040 is 4030398.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 89302995 and 89303013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700151 + ... + 4700169.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 2^89303040 is an apocalyptic number.

89303040 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 89303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

89303040 is an abundant number, since it is smaller than the sum of its proper divisors (264504960).

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

89303040 is a wasteful number, since it uses less digits than its factorization.

89303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 89303040 is about 9450.0285713854. The cubic root of 89303040 is about 446.9806757107.

The spelling of 89303040 in words is "eighty-nine million, three hundred three thousand, forty".