89274240 has 192 divisors, whose sum is σ = 336538800. Its totient is φ = 21626880.

The previous prime is 89274233. The next prime is 89274253. The reversal of 89274240 is 4247298.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89274195 and 89274204.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 62656 + ... + 64064.

Almost surely, 2^89274240 is an apocalyptic number.

89274240 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 89274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168269400).

89274240 is an abundant number, since it is smaller than the sum of its proper divisors (247264560).

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

89274240 is a wasteful number, since it uses less digits than its factorization.

89274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 89274240 is about 9448.5046435931. The cubic root of 89274240 is about 446.9326205062.

The spelling of 89274240 in words is "eighty-nine million, two hundred seventy-four thousand, two hundred forty".