89465040 has 320 divisors, whose sum is σ = 361643520. Its totient is φ = 19906560.

The previous prime is 89465021. The next prime is 89465071. The reversal of 89465040 is 4056498.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89464986 and 89465004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922272 + ... + 922368.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 2^89465040 is an apocalyptic number.

89465040 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 89465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180821760).

89465040 is an abundant number, since it is smaller than the sum of its proper divisors (272178480).

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

89465040 is a wasteful number, since it uses less digits than its factorization.

89465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 89465040 is about 9458.5960903297. The cubic root of 89465040 is about 447.2507939058.

The spelling of 89465040 in words is "eighty-nine million, four hundred sixty-five thousand, forty".