89480160 has 384 divisors, whose sum is σ = 391910400. Its totient is φ = 18524160.

The previous prime is 89480137. The next prime is 89480201. The reversal of 89480160 is 6108498.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332506 + ... + 332774.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^89480160 is an apocalyptic number.

89480160 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 89480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

89480160 is an abundant number, since it is smaller than the sum of its proper divisors (302430240).

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

89480160 is a wasteful number, since it uses less digits than its factorization.

89480160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89480160 is about 9459.3953295123. The cubic root of 89480160 is about 447.2759882949.

It can be divided in two parts, 89 and 480160, that added together give a square (480249 = 693²).

The spelling of 89480160 in words is "eighty-nine million, four hundred eighty thousand, one hundred sixty".