89361468 has 180 divisors, whose sum is σ = 282599856. Its totient is φ = 24105600.

The previous prime is 89361457. The next prime is 89361473. The reversal of 89361468 is 86416398.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2179528 + ... + 2179568.

Almost surely, 2^89361468 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 89361468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141299928).

89361468 is an abundant number, since it is smaller than the sum of its proper divisors (193238388).

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

89361468 is a wasteful number, since it uses less digits than its factorization.

89361468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 89361468 is about 9453.1194851224. The cubic root of 89361468 is about 447.0781359739.

It can be divided in two parts, 8936 and 1468, that added together give a square (10404 = 102²).

The spelling of 89361468 in words is "eighty-nine million, three hundred sixty-one thousand, four hundred sixty-eight".