1601782560 has 768 divisors, whose sum is σ = 6967296000. Its totient is φ = 342752256.

The previous prime is 1601782531. The next prime is 1601782579. The reversal of 1601782560 is 652871061.

1601782560 is a `hidden beast` number, since 1 + 6 + 0 + 17 + 82 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34080457 + ... + 34080503.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^1601782560 is an apocalyptic number.

1601782560 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 1601782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648000).

1601782560 is an abundant number, since it is smaller than the sum of its proper divisors (5365513440).

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

1601782560 is a wasteful number, since it uses less digits than its factorization.

1601782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1601782560 is about 40022.2757973606. The cubic root of 1601782560 is about 1170.0412871689.

The spelling of 1601782560 in words is "one billion, six hundred one million, seven hundred eighty-two thousand, five hundred sixty".