89729640 has 512 divisors, whose sum is σ = 406425600. Its totient is φ = 17003520.

The previous prime is 89729611. The next prime is 89729641. The reversal of 89729640 is 4692798.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (89729641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1081039 + ... + 1081121.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^89729640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89729640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

89729640 is an abundant number, since it is smaller than the sum of its proper divisors (316695960).

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

89729640 is a wasteful number, since it uses less digits than its factorization.

89729640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 89729640 is about 9472.5730400985. The cubic root of 89729640 is about 447.6912865727.

The spelling of 89729640 in words is "eighty-nine million, seven hundred twenty-nine thousand, six hundred forty".