89034624 has 192 divisors, whose sum is σ = 299251680. Its totient is φ = 24883200.

The previous prime is 89034619. The next prime is 89034629. The reversal of 89034624 is 42643098.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89034619) and next prime (89034629).

It is a tau number, because it is divible by the number of its divisors (192).

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 (89034629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491814 + ... + 491994.

Almost surely, 2^89034624 is an apocalyptic number.

89034624 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 89034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149625840).

89034624 is an abundant number, since it is smaller than the sum of its proper divisors (210217056).

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

89034624 is a wasteful number, since it uses less digits than its factorization.

89034624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 89034624 is about 9435.8160219453. The cubic root of 89034624 is about 446.5323999300.

The spelling of 89034624 in words is "eighty-nine million, thirty-four thousand, six hundred twenty-four".