89646480 has 480 divisors, whose sum is σ = 395808000. Its totient is φ = 18627840.

The previous prime is 89646463. The next prime is 89646497. The reversal of 89646480 is 8464698.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89646463) and next prime (89646497).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8149675 + ... + 8149685.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^89646480 is an apocalyptic number.

89646480 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 89646480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904000).

89646480 is an abundant number, since it is smaller than the sum of its proper divisors (306161520).

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

89646480 is a wasteful number, since it uses less digits than its factorization.

89646480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 89646480 is about 9468.1825077467. The cubic root of 89646480 is about 447.5529394420.

The spelling of 89646480 in words is "eighty-nine million, six hundred forty-six thousand, four hundred eighty".