1604969520 has 480 divisors, whose sum is σ = 6656359680. Its totient is φ = 315463680.

The previous prime is 1604969503. The next prime is 1604969537. The reversal of 1604969520 is 259694061.

It is a happy number.

1604969520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1604969503) and next prime (1604969537).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2457514 + ... + 2458166.

It is an arithmetic number, because the mean of its divisors is an integer number (13867416).

Almost surely, 2^1604969520 is an apocalyptic number.

1604969520 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 1604969520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328179840).

1604969520 is an abundant number, since it is smaller than the sum of its proper divisors (5051390160).

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

1604969520 is a wasteful number, since it uses less digits than its factorization.

1604969520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1604969520 is about 40062.0708401351. The cubic root of 1604969520 is about 1170.8167574840.

The spelling of 1604969520 in words is "one billion, six hundred four million, nine hundred sixty-nine thousand, five hundred twenty".