1997262960 has 640 divisors, whose sum is σ = 8337752064. Its totient is φ = 383201280.

The previous prime is 1997262959. The next prime is 1997262977. The reversal of 1997262960 is 692627991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15726417 + ... + 15726543.

Almost surely, 2^1997262960 is an apocalyptic number.

1997262960 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 1997262960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168876032).

1997262960 is an abundant number, since it is smaller than the sum of its proper divisors (6340489104).

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

1997262960 is a wasteful number, since it uses less digits than its factorization.

1997262960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 1997262960 is about 44690.7480358071. The cubic root of 1997262960 is about 1259.3460451281.

The spelling of 1997262960 in words is "one billion, nine hundred ninety-seven million, two hundred sixty-two thousand, nine hundred sixty".