1598629920 has 192 divisors, whose sum is σ = 5228302464. Its totient is φ = 410296320.

The previous prime is 1598629909. The next prime is 1598629931. The reversal of 1598629920 is 299268951.

It is an interprime number because it is at equal distance from previous prime (1598629909) and next prime (1598629931).

It is a super-2 number, since 2×1598629920² = 5111235242238412800, which contains 22 as substring.

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, 1506190 + ... + 1507250.

It is an arithmetic number, because the mean of its divisors is an integer number (27230742).

Almost surely, 2^1598629920 is an apocalyptic number.

1598629920 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 1598629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614151232).

1598629920 is an abundant number, since it is smaller than the sum of its proper divisors (3629672544).

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

1598629920 is a wasteful number, since it uses less digits than its factorization.

1598629920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 1598629920 is about 39982.8703321810. The cubic root of 1598629920 is about 1169.2731550974.

The spelling of 1598629920 in words is "one billion, five hundred ninety-eight million, six hundred twenty-nine thousand, nine hundred twenty".