89683776 has 336 divisors, whose sum is σ = 332841600. Its totient is φ = 22450176.

The previous prime is 89683771. The next prime is 89683777. The reversal of 89683776 is 67738698.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3048192) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89683771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520035 + ... + 1520093.

It is an arithmetic number, because the mean of its divisors is an integer number (990600).

Almost surely, 2^89683776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420800).

89683776 is an abundant number, since it is smaller than the sum of its proper divisors (243157824).

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

89683776 is a wasteful number, since it uses less digits than its factorization.

89683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 89683776 is about 9470.1518467235. The cubic root of 89683776 is about 447.6149966105.

It can be divided in two parts, 89 and 683776, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 89683776 in words is "eighty-nine million, six hundred eighty-three thousand, seven hundred seventy-six".