1604514040 has 64 divisors (see below), whose sum is σ = 3854822400. Its totient is φ = 599609472.

The previous prime is 1604514031. The next prime is 1604514061. The reversal of 1604514040 is 404154061.

It is a junction number, because it is equal to n+sod(n) for n = 1604513996 and 1604514014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19281 + ... + 59839.

It is an arithmetic number, because the mean of its divisors is an integer number (60231600).

Almost surely, 2^1604514040 is an apocalyptic number.

1604514040 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 1604514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927411200).

1604514040 is an abundant number, since it is smaller than the sum of its proper divisors (2250308360).

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

1604514040 is a wasteful number, since it uses less digits than its factorization.

1604514040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40636 (or 40632 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1604514040 is about 40056.3857580786. The cubic root of 1604514040 is about 1170.7059902564.

The spelling of 1604514040 in words is "one billion, six hundred four million, five hundred fourteen thousand, forty".