89258064 has 80 divisors (see below), whose sum is σ = 264983040. Its totient is φ = 25361280.

The previous prime is 89258053. The next prime is 89258087. The reversal of 89258064 is 46085298.

It is a super-3 number, since 3×89258064³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70267 + ... + 71525.

It is an arithmetic number, because the mean of its divisors is an integer number (3312288).

Almost surely, 2^89258064 is an apocalyptic number.

89258064 is a gapful number since it is divisible by the number (84) 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 89258064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132491520).

89258064 is an abundant number, since it is smaller than the sum of its proper divisors (175724976).

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

89258064 is a wasteful number, since it uses less digits than its factorization.

89258064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 89258064 is about 9447.6485963440. The cubic root of 89258064 is about 446.9056249669.

The spelling of 89258064 in words is "eighty-nine million, two hundred fifty-eight thousand, sixty-four".