89893440 has 420 divisors, whose sum is σ = 388453884. Its totient is φ = 18966528.

The previous prime is 89893439. The next prime is 89893457. The reversal of 89893440 is 4439898.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 67765824 = 4704^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6914874 + ... + 6914886.

Almost surely, 2^89893440 is an apocalyptic number.

89893440 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 89893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194226942).

89893440 is an abundant number, since it is smaller than the sum of its proper divisors (298560444).

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

89893440 is a wasteful number, since it uses less digits than its factorization.

89893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

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

The square root of 89893440 is about 9481.2151119991. The cubic root of 89893440 is about 447.9635386993.

The spelling of 89893440 in words is "eighty-nine million, eight hundred ninety-three thousand, four hundred forty".