1713960000 has 525 divisors, whose sum is σ = 6636899731. Its totient is φ = 437184000.

The previous prime is 1713959993. The next prime is 1713960011. The reversal of 1713960000 is 693171.

The square root of 1713960000 is 41400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 1579585536 = 11592^2 + 39744^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 74519989 + ... + 74520011.

Almost surely, 2^1713960000 is an apocalyptic number.

1713960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1713960000 is the 41400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1713960000

1713960000 is an abundant number, since it is smaller than the sum of its proper divisors (4922939731).

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

1713960000 is an frugal number, since it uses more digits than its factorization.

1713960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The cubic root of 1713960000 is about 1196.7411579685.

The spelling of 1713960000 in words is "one billion, seven hundred thirteen million, nine hundred sixty thousand".