89724000 has 96 divisors (see below), whose sum is σ = 293975136. Its totient is φ = 23923200.

The previous prime is 89723993. The next prime is 89724007. The reversal of 89724000 is 42798.

It is an interprime number because it is at equal distance from previous prime (89723993) and next prime (89724007).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89724007) 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, 8262 + ... + 15738.

It is an arithmetic number, because the mean of its divisors is an integer number (3062241).

Almost surely, 2^89724000 is an apocalyptic number.

89724000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146987568).

89724000 is an abundant number, since it is smaller than the sum of its proper divisors (204251136).

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

89724000 is a wasteful number, since it uses less digits than its factorization.

89724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 89724000 is about 9472.2753338361. The cubic root of 89724000 is about 447.6819064253.

Adding to 89724000 its reverse (42798), we get a palindrome (89766798).

The spelling of 89724000 in words is "eighty-nine million, seven hundred twenty-four thousand".