89135424 has 112 divisors (see below), whose sum is σ = 299516800. Its totient is φ = 25463808.

The previous prime is 89135411. The next prime is 89135461. The reversal of 89135424 is 42453198.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 8412 + ... + 15780.

Almost surely, 2^89135424 is an apocalyptic number.

89135424 is a gapful number since it is divisible by the number (84) 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 89135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149758400).

89135424 is an abundant number, since it is smaller than the sum of its proper divisors (210381376).

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

89135424 is a wasteful number, since it uses less digits than its factorization.

89135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7381 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 89135424 is about 9441.1558614398. The cubic root of 89135424 is about 446.7008493431.

It can be divided in two parts, 891 and 35424, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 89135424 in words is "eighty-nine million, one hundred thirty-five thousand, four hundred twenty-four".