89148640 has 144 divisors (see below), whose sum is σ = 249761232. Its totient is φ = 29976576.

The previous prime is 89148611. The next prime is 89148643. The reversal of 89148640 is 4684198.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 89148593 and 89148602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89148643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650652 + ... + 650788.

It is an arithmetic number, because the mean of its divisors is an integer number (1734453).

Almost surely, 2^89148640 is an apocalyptic number.

89148640 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 89148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124880616).

89148640 is an abundant number, since it is smaller than the sum of its proper divisors (160612592).

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

89148640 is a wasteful number, since it uses less digits than its factorization.

89148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 89148640 is about 9441.8557497983. The cubic root of 89148640 is about 446.7229255144.

The spelling of 89148640 in words is "eighty-nine million, one hundred forty-eight thousand, six hundred forty".