89787360 has 96 divisors (see below), whose sum is σ = 304607520. Its totient is φ = 22099968.

The previous prime is 89787359. The next prime is 89787367. The reversal of 89787360 is 6378798.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89787367) 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, 955 + ... + 13434.

It is an arithmetic number, because the mean of its divisors is an integer number (3172995).

Almost surely, 2^89787360 is an apocalyptic number.

89787360 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 89787360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152303760).

89787360 is an abundant number, since it is smaller than the sum of its proper divisors (214820160).

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

89787360 is a wasteful number, since it uses less digits than its factorization.

89787360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14420 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 89787360 is about 9475.6192409784. The cubic root of 89787360 is about 447.7872608135.

The spelling of 89787360 in words is "eighty-nine million, seven hundred eighty-seven thousand, three hundred sixty".