89763680 has 48 divisors (see below), whose sum is σ = 214053840. Its totient is φ = 35569152.

The previous prime is 89763679. The next prime is 89763683. The reversal of 89763680 is 8636798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89763683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14867 + ... + 20013.

It is an arithmetic number, because the mean of its divisors is an integer number (4459455).

Almost surely, 2^89763680 is an apocalyptic number.

89763680 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 89763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026920).

89763680 is an abundant number, since it is smaller than the sum of its proper divisors (124290160).

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

89763680 is a wasteful number, since it uses less digits than its factorization.

89763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 89763680 is about 9474.3696360233. The cubic root of 89763680 is about 447.7478917432.

The spelling of 89763680 in words is "eighty-nine million, seven hundred sixty-three thousand, six hundred eighty".