89783680 has 128 divisors (see below), whose sum is σ = 250920000. Its totient is φ = 30707712.

The previous prime is 89783671. The next prime is 89783693. The reversal of 89783680 is 8638798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×89783680² = 16122218388684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219316 + ... + 219724.

Almost surely, 2^89783680 is an apocalyptic number.

89783680 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 89783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125460000).

89783680 is an abundant number, since it is smaller than the sum of its proper divisors (161136320).

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

89783680 is an equidigital number, since it uses as much as digits as its factorization.

89783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 89783680 is about 9475.4250564289. The cubic root of 89783680 is about 447.7811431015.

The spelling of 89783680 in words is "eighty-nine million, seven hundred eighty-three thousand, six hundred eighty".