89351040 has 128 divisors (see below), whose sum is σ = 287517600. Its totient is φ = 23601152.

The previous prime is 89351029. The next prime is 89351081. The reversal of 89351040 is 4015398.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 89350989 and 89351007.

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 15 ways as a sum of consecutive naturals, for example, 332026 + ... + 332294.

Almost surely, 2^89351040 is an apocalyptic number.

89351040 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 89351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143758800).

89351040 is an abundant number, since it is smaller than the sum of its proper divisors (198166560).

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

89351040 is a wasteful number, since it uses less digits than its factorization.

89351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 89351040 is about 9452.5679050721. The cubic root of 89351040 is about 447.0607447639.

The spelling of 89351040 in words is "eighty-nine million, three hundred fifty-one thousand, forty".