89226400 has 36 divisors (see below), whose sum is σ = 217825902. Its totient is φ = 35690240.

The previous prime is 89226377. The next prime is 89226443. The reversal of 89226400 is 462298.

It can be written as a sum of positive squares in 3 ways, for example, as 38588944 + 50637456 = 6212^2 + 7116^2 .

It is a super-2 number, since 2×89226400² = 15922700913920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54967 + ... + 56566.

Almost surely, 2^89226400 is an apocalyptic number.

89226400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89226400 is an abundant number, since it is smaller than the sum of its proper divisors (128599502).

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

89226400 is a wasteful number, since it uses less digits than its factorization.

89226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111553 (or 111540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 89226400 is about 9445.9726868121. The cubic root of 89226400 is about 446.8527726242.

Adding to 89226400 its reverse (462298), we get a palindrome (89688698).

The spelling of 89226400 in words is "eighty-nine million, two hundred twenty-six thousand, four hundred".