89029440 has 168 divisors, whose sum is σ = 322539360. Its totient is φ = 22477824.

The previous prime is 89029417. The next prime is 89029441. The reversal of 89029440 is 4492098.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 89029395 and 89029404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89029441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53907 + ... + 55533.

Almost surely, 2^89029440 is an apocalyptic number.

89029440 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 89029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161269680).

89029440 is an abundant number, since it is smaller than the sum of its proper divisors (233509920).

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

89029440 is a wasteful number, since it uses less digits than its factorization.

89029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89029440 is about 9435.5413199244. The cubic root of 89029440 is about 446.5237333806.

The spelling of 89029440 in words is "eighty-nine million, twenty-nine thousand, four hundred forty".