89461856 has 48 divisors (see below), whose sum is σ = 197361360. Its totient is φ = 39559680.

The previous prime is 89461829. The next prime is 89461901. The reversal of 89461856 is 65816498.

It is a super-3 number, since 3×89461856³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89461856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9590 + ... + 16458.

It is an arithmetic number, because the mean of its divisors is an integer number (4111695).

Almost surely, 2^89461856 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 89461856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98680680).

89461856 is an abundant number, since it is smaller than the sum of its proper divisors (107899504).

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

89461856 is a wasteful number, since it uses less digits than its factorization.

89461856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927 (or 6919 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The square root of 89461856 is about 9458.4277763273. The cubic root of 89461856 is about 447.2454880589.

The spelling of 89461856 in words is "eighty-nine million, four hundred sixty-one thousand, eight hundred fifty-six".