9948067600 has 45 divisors (see below), whose sum is σ = 23905025877. Its totient is φ = 3978429120.

The previous prime is 9948067573. The next prime is 9948067621. The reversal of 9948067600 is 67608499.

The square root of 9948067600 is 99740.

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

It can be written as a sum of positive squares in only one way, i.e., 3581304336 + 6366763264 = 59844^2 + 79792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1992307 + ... + 1997293.

Almost surely, 2^9948067600 is an apocalyptic number.

9948067600 is the 99740-th square number.

It is an amenable number.

9948067600 is an abundant number, since it is smaller than the sum of its proper divisors (13956958277).

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

9948067600 is an frugal number, since it uses more digits than its factorization.

9948067600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The cubic root of 9948067600 is about 2150.6987164765.

Multiplying 9948067600 by its sum of digits (49), we get a square (487455312400 = 698180²).

The spelling of 9948067600 in words is "nine billion, nine hundred forty-eight million, sixty-seven thousand, six hundred".