89754720 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 21401600.

The previous prime is 89754683. The next prime is 89754733. The reversal of 89754720 is 2745798.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469825 + ... + 470015.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^89754720 is an apocalyptic number.

89754720 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 89754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

89754720 is an abundant number, since it is smaller than the sum of its proper divisors (223773600).

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

89754720 is a wasteful number, since it uses less digits than its factorization.

89754720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 89754720 is about 9473.8967695453. The cubic root of 89754720 is about 447.7329935327.

It can be divided in two parts, 8975 and 4720, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 89754720 in words is "eighty-nine million, seven hundred fifty-four thousand, seven hundred twenty".