89439840 has 288 divisors, whose sum is σ = 367960320. Its totient is φ = 19325952.

The previous prime is 89439829. The next prime is 89439851. The reversal of 89439840 is 4893498.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89439829) and next prime (89439851).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 191287 + ... + 191753.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^89439840 is an apocalyptic number.

89439840 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 89439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

89439840 is an abundant number, since it is smaller than the sum of its proper divisors (278520480).

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

89439840 is a wasteful number, since it uses less digits than its factorization.

89439840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 89439840 is about 9457.2638749270. The cubic root of 89439840 is about 447.2087969485.

The spelling of 89439840 in words is "eighty-nine million, four hundred thirty-nine thousand, eight hundred forty".