89434120 has 64 divisors (see below), whose sum is σ = 215187840. Its totient is φ = 33369600.

The previous prime is 89434099. The next prime is 89434123. The reversal of 89434120 is 2143498.

89434120 = 487² + 488² + ... + 726².

It is not an unprimeable number, because it can be changed into a prime (89434123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36535 + ... + 38905.

It is an arithmetic number, because the mean of its divisors is an integer number (3362310).

Almost surely, 2^89434120 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 89434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107593920).

89434120 is an abundant number, since it is smaller than the sum of its proper divisors (125753720).

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

89434120 is a wasteful number, since it uses less digits than its factorization.

89434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 89434120 is about 9456.9614570432. The cubic root of 89434120 is about 447.1992632073.

The spelling of 89434120 in words is "eighty-nine million, four hundred thirty-four thousand, one hundred twenty".