89553840 has 160 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 22026240.

The previous prime is 89553833. The next prime is 89553853. The reversal of 89553840 is 4835598.

89553840 = T₁₅₉ + T₁₆₀ + ... + T₈₁₄.

It is a junction number, because it is equal to n+sod(n) for n = 89553792 and 89553801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186721 + ... + 187199.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^89553840 is an apocalyptic number.

89553840 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 89553840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

89553840 is an abundant number, since it is smaller than the sum of its proper divisors (210426960).

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

89553840 is a wasteful number, since it uses less digits than its factorization.

89553840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 89553840 is about 9463.2890688175. The cubic root of 89553840 is about 447.3987203566.

The spelling of 89553840 in words is "eighty-nine million, five hundred fifty-three thousand, eight hundred forty".