89940480 has 240 divisors, whose sum is σ = 335871360. Its totient is φ = 20471808.

The previous prime is 89940467. The next prime is 89940481. The reversal of 89940480 is 8404998.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89940481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376201 + ... + 376439.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 2^89940480 is an apocalyptic number.

89940480 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 89940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

89940480 is an abundant number, since it is smaller than the sum of its proper divisors (245930880).

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

89940480 is a wasteful number, since it uses less digits than its factorization.

89940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 89940480 is about 9483.6954822474. The cubic root of 89940480 is about 448.0416627920.

The spelling of 89940480 in words is "eighty-nine million, nine hundred forty thousand, four hundred eighty".