1604977920 has 432 divisors, whose sum is σ = 6838995072. Its totient is φ = 338411520.

The previous prime is 1604977909. The next prime is 1604977931. The reversal of 1604977920 is 297794061.

It is an interprime number because it is at equal distance from previous prime (1604977909) and next prime (1604977931).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047555 + ... + 1049085.

Almost surely, 2^1604977920 is an apocalyptic number.

1604977920 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 1604977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419497536).

1604977920 is an abundant number, since it is smaller than the sum of its proper divisors (5234017152).

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

1604977920 is a wasteful number, since it uses less digits than its factorization.

1604977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1604977920 is about 40062.1756773144. The cubic root of 1604977920 is about 1170.8188000656.

The spelling of 1604977920 in words is "one billion, six hundred four million, nine hundred seventy-seven thousand, nine hundred twenty".