89374860 has 192 divisors, whose sum is σ = 303206400. Its totient is φ = 21772800.

The previous prime is 89374847. The next prime is 89374889. The reversal of 89374860 is 6847398.

89374860 = 309³ + 310³ + 311³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317920 + ... + 318200.

It is an arithmetic number, because the mean of its divisors is an integer number (1579200).

Almost surely, 2^89374860 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 89374860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151603200).

89374860 is an abundant number, since it is smaller than the sum of its proper divisors (213831540).

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

89374860 is a wasteful number, since it uses less digits than its factorization.

89374860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 89374860 is about 9453.8277961892. The cubic root of 89374860 is about 447.1004683858.

The spelling of 89374860 in words is "eighty-nine million, three hundred seventy-four thousand, eight hundred sixty".