1609153140 has 288 divisors, whose sum is σ = 5584723200. Its totient is φ = 344408064.

The previous prime is 1609153129. The next prime is 1609153141. The reversal of 1609153140 is 413519061.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1609153098 and 1609153107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609153141) 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, 3583636 + ... + 3584084.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 2^1609153140 is an apocalyptic number.

1609153140 is a gapful number since it is divisible by the number (10) 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 1609153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792361600).

1609153140 is an abundant number, since it is smaller than the sum of its proper divisors (3975570060).

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

1609153140 is a wasteful number, since it uses less digits than its factorization.

1609153140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1609153140 is about 40114.2510836236. The cubic root of 1609153140 is about 1171.8331843710.

The spelling of 1609153140 in words is "one billion, six hundred nine million, one hundred fifty-three thousand, one hundred forty".