89314000 has 40 divisors (see below), whose sum is σ = 215966088. Its totient is φ = 35724800.

The previous prime is 89313989. The next prime is 89314013. The reversal of 89314000 is 41398.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 85673536 = 1908^2 + 9256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20329 + ... + 24328.

Almost surely, 2^89314000 is an apocalyptic number.

89314000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89314000 is an abundant number, since it is smaller than the sum of its proper divisors (126652088).

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

89314000 is a wasteful number, since it uses less digits than its factorization.

89314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44680 (or 44664 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 89314000 is about 9450.6084460208. The cubic root of 89314000 is about 446.9989606717.

Adding to 89314000 its reverse (41398), we get a palindrome (89355398).

The spelling of 89314000 in words is "eighty-nine million, three hundred fourteen thousand".