609149040 has 80 divisors (see below), whose sum is σ = 1920412800. Its totient is φ = 159682816.

The previous prime is 609149003. The next prime is 609149053. The reversal of 609149040 is 40941906.

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

It is a junction number, because it is equal to n+sod(n) for n = 609148992 and 609149010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7350 + ... + 35669.

It is an arithmetic number, because the mean of its divisors is an integer number (24005160).

Almost surely, 2^609149040 is an apocalyptic number.

609149040 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 609149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960206400).

609149040 is an abundant number, since it is smaller than the sum of its proper divisors (1311263760).

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

609149040 is a wasteful number, since it uses less digits than its factorization.

609149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43094 (or 43088 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 609149040 is about 24680.9448765642. The cubic root of 609149040 is about 847.6980576259.

The spelling of 609149040 in words is "six hundred nine million, one hundred forty-nine thousand, forty".