1997913600 has 600 divisors, whose sum is σ = 7735942368. Its totient is φ = 508723200.

The previous prime is 1997913587. The next prime is 1997913613. The reversal of 1997913600 is 63197991.

It is an interprime number because it is at equal distance from previous prime (1997913587) and next prime (1997913613).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42508777 + ... + 42508823.

Almost surely, 2^1997913600 is an apocalyptic number.

1997913600 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 1997913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867971184).

1997913600 is an abundant number, since it is smaller than the sum of its proper divisors (5738028768).

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

1997913600 is an equidigital number, since it uses as much as digits as its factorization.

1997913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 1997913600 is about 44698.0268020860. The cubic root of 1997913600 is about 1259.4827809124.

The spelling of 1997913600 in words is "one billion, nine hundred ninety-seven million, nine hundred thirteen thousand, six hundred".