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89579520 = 213375

89579520 has 224 divisors, whose sum is σ = 322417440. Its totient is φ = 23887872.

The previous prime is 89579489. The next prime is 89579527. The reversal of 89579520 is 2597598.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)2 ⋅ (3!)3.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89579527) 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, 17915902 + ... + 17915906.

Almost surely, 289579520 is an apocalyptic number.

89579520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89579520 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161208720).

89579520 is an abundant number, since it is smaller than the sum of its proper divisors (232837920).

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

89579520 is an frugal number, since it uses more digits than its factorization.

89579520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 89579520 is about 9464.6457936893. The cubic root of 89579520 is about 447.4414808574.

The spelling of 89579520 in words is "eighty-nine million, five hundred seventy-nine thousand, five hundred twenty".