89210880 has 270 divisors, whose sum is σ = 339924858. Its totient is φ = 21626880.

The previous prime is 89210851. The next prime is 89210881. The reversal of 89210880 is 8801298.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 17842176 = 8448^2 + 4224^2 .

It is a super-2 number, since 2×89210880² = 15917162220748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89210881) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8110075 + ... + 8110085.

Almost surely, 2^89210880 is an apocalyptic number.

89210880 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 89210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169962429).

89210880 is an abundant number, since it is smaller than the sum of its proper divisors (250713978).

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

89210880 is a wasteful number, since it uses less digits than its factorization.

89210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 89210880 is about 9445.1511369591. The cubic root of 89210880 is about 446.8268626649.

The spelling of 89210880 in words is "eighty-nine million, two hundred ten thousand, eight hundred eighty".