609850080 has 576 divisors, whose sum is σ = 2578625280. Its totient is φ = 134120448.

The previous prime is 609850079. The next prime is 609850081. The reversal of 609850080 is 80058906.

609850080 is a `hidden beast` number, since 60 + 98 + 500 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (609850079) and next prime (609850081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609850081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9102207 + ... + 9102273.

It is an arithmetic number, because the mean of its divisors is an integer number (4476780).

Almost surely, 2^609850080 is an apocalyptic number.

609850080 is a gapful number since it is divisible by the number (60) 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 609850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289312640).

609850080 is an abundant number, since it is smaller than the sum of its proper divisors (1968775200).

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

609850080 is a wasteful number, since it uses less digits than its factorization.

609850080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 609850080 is about 24695.1428422676. The cubic root of 609850080 is about 848.0231244436.

The spelling of 609850080 in words is "six hundred nine million, eight hundred fifty thousand, eighty".