1617856240 has 320 divisors, whose sum is σ = 5129671680. Its totient is φ = 458219520.

The previous prime is 1617856199. The next prime is 1617856249. The reversal of 1617856240 is 426587161.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1617856193 and 1617856202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617856249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7127007 + ... + 7127233.

It is an arithmetic number, because the mean of its divisors is an integer number (16030224).

Almost surely, 2^1617856240 is an apocalyptic number.

1617856240 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 1617856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840).

1617856240 is an abundant number, since it is smaller than the sum of its proper divisors (3511815440).

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

1617856240 is a wasteful number, since it uses less digits than its factorization.

1617856240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1617856240 is about 40222.5837061718. The cubic root of 1617856240 is about 1173.9420058475.

The spelling of 1617856240 in words is "one billion, six hundred seventeen million, eight hundred fifty-six thousand, two hundred forty".