89293950 has 144 divisors (see below), whose sum is σ = 255805056. Its totient is φ = 22291200.

The previous prime is 89293943. The next prime is 89293957. The reversal of 89293950 is 5939298.

It is an interprime number because it is at equal distance from previous prime (89293943) and next prime (89293957).

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

It is a junction number, because it is equal to n+sod(n) for n = 89293896 and 89293905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89293957) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 516064 + ... + 516236.

It is an arithmetic number, because the mean of its divisors is an integer number (1776424).

Almost surely, 2^89293950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89293950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127902528).

89293950 is an abundant number, since it is smaller than the sum of its proper divisors (166511106).

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

89293950 is a wasteful number, since it uses less digits than its factorization.

89293950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 89293950 is about 9449.5476082191. The cubic root of 89293950 is about 446.9655094028.

The spelling of 89293950 in words is "eighty-nine million, two hundred ninety-three thousand, nine hundred fifty".