997763520 has 224 divisors, whose sum is σ = 3523000320. Its totient is φ = 237588480.

The previous prime is 997763479. The next prime is 997763521. The reversal of 997763520 is 25367799.

997763520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 997763520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997763521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385591 + ... + 388169.

It is an arithmetic number, because the mean of its divisors is an integer number (15727680).

Almost surely, 2^997763520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761500160).

997763520 is an abundant number, since it is smaller than the sum of its proper divisors (2525236800).

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

997763520 is a wasteful number, since it uses less digits than its factorization.

997763520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 997763520 is about 31587.3949543168. The cubic root of 997763520 is about 999.2539502148.

The spelling of 997763520 in words is "nine hundred ninety-seven million, seven hundred sixty-three thousand, five hundred twenty".