1604127120 has 80 divisors (see below), whose sum is σ = 4979895552. Its totient is φ = 427156480.

The previous prime is 1604127113. The next prime is 1604127127. The reversal of 1604127120 is 217214061.

It is an interprime number because it is at equal distance from previous prime (1604127113) and next prime (1604127127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1604127120³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1604127127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178249 + ... + 187031.

Almost surely, 2^1604127120 is an apocalyptic number.

1604127120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1604127120 is an abundant number, since it is smaller than the sum of its proper divisors (3375768432).

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

1604127120 is a wasteful number, since it uses less digits than its factorization.

1604127120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 9554 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1604127120 is about 40051.5557750258. Note that the first 3 decimals coincide. The cubic root of 1604127120 is about 1170.6118795235.

The spelling of 1604127120 in words is "one billion, six hundred four million, one hundred twenty-seven thousand, one hundred twenty".