1712977920 has 144 divisors (see below), whose sum is σ = 5937193080. Its totient is φ = 456769536.

The previous prime is 1712977901. The next prime is 1712977939. The reversal of 1712977920 is 297792171.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1712977901) and next prime (1712977939).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82867 + ... + 101453.

Almost surely, 2^1712977920 is an apocalyptic number.

1712977920 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 1712977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968596540).

1712977920 is an abundant number, since it is smaller than the sum of its proper divisors (4224215160).

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

1712977920 is a wasteful number, since it uses less digits than its factorization.

1712977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18620 (or 18597 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 1712977920 is about 41388.1374309113. The cubic root of 1712977920 is about 1196.5125411776.

The spelling of 1712977920 in words is "one billion, seven hundred twelve million, nine hundred seventy-seven thousand, nine hundred twenty".