1601692560 has 240 divisors, whose sum is σ = 5827418688. Its totient is φ = 391910400.

The previous prime is 1601692517. The next prime is 1601692567. The reversal of 1601692560 is 652961061.

1601692560 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 6 + 92 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1601692567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974555 + ... + 1975365.

Almost surely, 2^1601692560 is an apocalyptic number.

1601692560 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 1601692560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913709344).

1601692560 is an abundant number, since it is smaller than the sum of its proper divisors (4225726128).

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

1601692560 is a wasteful number, since it uses less digits than its factorization.

1601692560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1601692560 is about 40021.1514077244. The cubic root of 1601692560 is about 1170.0193728986.

The spelling of 1601692560 in words is "one billion, six hundred one million, six hundred ninety-two thousand, five hundred sixty".