1604872840 has 128 divisors (see below), whose sum is σ = 3898782720. Its totient is φ = 593049600.

The previous prime is 1604872837. The next prime is 1604872873. The reversal of 1604872840 is 482784061.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1604872793 and 1604872802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5921905 + ... + 5922175.

It is an arithmetic number, because the mean of its divisors is an integer number (30459240).

Almost surely, 2^1604872840 is an apocalyptic number.

1604872840 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 1604872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949391360).

1604872840 is an abundant number, since it is smaller than the sum of its proper divisors (2293909880).

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

1604872840 is a wasteful number, since it uses less digits than its factorization.

1604872840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 1604872840 is about 40060.8641943730. The cubic root of 1604872840 is about 1170.7932478294.

It can be divided in two parts, 16048 and 72840, that added together give a palindrome (88888).

The spelling of 1604872840 in words is "one billion, six hundred four million, eight hundred seventy-two thousand, eight hundred forty".