89742480 has 80 divisors (see below), whose sum is σ = 282404544. Its totient is φ = 23569920.

The previous prime is 89742479. The next prime is 89742487. The reversal of 89742480 is 8424798.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (89742487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13290 + ... + 18870.

Almost surely, 2^89742480 is an apocalyptic number.

89742480 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 89742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141202272).

89742480 is an abundant number, since it is smaller than the sum of its proper divisors (192662064).

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

89742480 is a wasteful number, since it uses less digits than its factorization.

89742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 89742480 is about 9473.2507620141. The cubic root of 89742480 is about 447.7126399106.

The spelling of 89742480 in words is "eighty-nine million, seven hundred forty-two thousand, four hundred eighty".