1604879892 has 288 divisors, whose sum is σ = 5383332864. Its totient is φ = 405907200.

The previous prime is 1604879879. The next prime is 1604879893. The reversal of 1604879892 is 2989784061.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604879893) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3068343 + ... + 3068865.

It is an arithmetic number, because the mean of its divisors is an integer number (18692128).

Almost surely, 2^1604879892 is an apocalyptic number.

1604879892 is a gapful number since it is divisible by the number (12) 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 1604879892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691666432).

1604879892 is an abundant number, since it is smaller than the sum of its proper divisors (3778452972).

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

1604879892 is a wasteful number, since it uses less digits than its factorization.

1604879892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1604879892 is about 40060.9522103507. The cubic root of 1604879892 is about 1170.7949626946.

The spelling of 1604879892 in words is "one billion, six hundred four million, eight hundred seventy-nine thousand, eight hundred ninety-two".