89242560 has 280 divisors, whose sum is σ = 347417136. Its totient is φ = 21565440.

The previous prime is 89242499. The next prime is 89242579. The reversal of 89242560 is 6524298.

It is a happy number.

89242560 is a `hidden beast` number, since 8 + 92 + 4 + 2 + 560 = 666.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284964 + ... + 285276.

Almost surely, 2^89242560 is an apocalyptic number.

89242560 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 89242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173708568).

89242560 is an abundant number, since it is smaller than the sum of its proper divisors (258174576).

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

89242560 is a wasteful number, since it uses less digits than its factorization.

89242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 89242560 is about 9446.8280390827. The cubic root of 89242560 is about 446.8797478427.

The spelling of 89242560 in words is "eighty-nine million, two hundred forty-two thousand, five hundred sixty".