89620480 has 64 divisors (see below), whose sum is σ = 215479080. Its totient is φ = 35782656.

The previous prime is 89620477. The next prime is 89620483. The reversal of 89620480 is 8402698.

It is an interprime number because it is at equal distance from previous prime (89620477) and next prime (89620483).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89620483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163567 + ... + 164113.

Almost surely, 2^89620480 is an apocalyptic number.

89620480 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 89620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107739540).

89620480 is an abundant number, since it is smaller than the sum of its proper divisors (125858600).

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

89620480 is an frugal number, since it uses more digits than its factorization.

89620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 89620480 is about 9466.8093885955. The cubic root of 89620480 is about 447.5096676126.

It can be divided in two parts, 89620 and 480, that added together give a triangular number (90100 = T₄₂₄).

The spelling of 89620480 in words is "eighty-nine million, six hundred twenty thousand, four hundred eighty".