1601195904 has 384 divisors, whose sum is σ = 5947334400. Its totient is φ = 415134720.

The previous prime is 1601195903. The next prime is 1601195917. The reversal of 1601195904 is 4095911061.

1601195904 is a `hidden beast` number, since 1 + 60 + 1 + 1 + 9 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601195903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2926959 + ... + 2927505.

It is an arithmetic number, because the mean of its divisors is an integer number (15487850).

Almost surely, 2^1601195904 is an apocalyptic number.

1601195904 is a gapful number since it is divisible by the number (14) 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 1601195904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973667200).

1601195904 is an abundant number, since it is smaller than the sum of its proper divisors (4346138496).

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

1601195904 is a wasteful number, since it uses less digits than its factorization.

1601195904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1601195904 is about 40014.9460077107. The cubic root of 1601195904 is about 1169.8984264221.

The spelling of 1601195904 in words is "one billion, six hundred one million, one hundred ninety-five thousand, nine hundred four".