89292834 has 64 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 28080000.

The previous prime is 89292821. The next prime is 89292839. The reversal of 89292834 is 43829298.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 89292834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89292839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67984 + ... + 69284.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^89292834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89292834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

89292834 is an abundant number, since it is smaller than the sum of its proper divisors (120693726).

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

89292834 is a wasteful number, since it uses less digits than its factorization.

89292834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1378 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 89292834 is about 9449.4885575887. The cubic root of 89292834 is about 446.9636473297.

The spelling of 89292834 in words is "eighty-nine million, two hundred ninety-two thousand, eight hundred thirty-four".