89837460 has 72 divisors (see below), whose sum is σ = 273500136. Its totient is φ = 23869440.

The previous prime is 89837459. The next prime is 89837467. The reversal of 89837460 is 6473898.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2452356 + 87385104 = 1566^2 + 9348^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89837467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59920 + ... + 61400.

It is an arithmetic number, because the mean of its divisors is an integer number (3798613).

Almost surely, 2^89837460 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 89837460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136750068).

89837460 is an abundant number, since it is smaller than the sum of its proper divisors (183662676).

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

89837460 is a wasteful number, since it uses less digits than its factorization.

89837460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1828 counting only the distinct ones).

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

The square root of 89837460 is about 9478.2624990027. The cubic root of 89837460 is about 447.8705315189.

The spelling of 89837460 in words is "eighty-nine million, eight hundred thirty-seven thousand, four hundred sixty".