89984435940 has 864 divisors, whose sum is σ = 351354931200. Its totient is φ = 18521395200.

The previous prime is 89984435939. The next prime is 89984435951. The reversal of 89984435940 is 4953448998.

89984435940 is a `hidden beast` number, since 89 + 9 + 84 + 435 + 9 + 40 = 666.

It is a super-2 number, since 2×89984435940² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 257834886 + ... + 257835234.

It is an arithmetic number, because the mean of its divisors is an integer number (406660800).

Almost surely, 2^89984435940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89984435940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175677465600).

89984435940 is an abundant number, since it is smaller than the sum of its proper divisors (261370495260).

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

89984435940 is a wasteful number, since it uses less digits than its factorization.

89984435940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 89984435940 in words is "eighty-nine billion, nine hundred eighty-four million, four hundred thirty-five thousand, nine hundred forty".