9977640 has 128 divisors (see below), whose sum is σ = 32607360. Its totient is φ = 2433024.

The previous prime is 9977633. The next prime is 9977651. The reversal of 9977640 is 467799.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9977592 and 9977601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136644 + ... + 136716.

It is an arithmetic number, because the mean of its divisors is an integer number (254745).

Almost surely, 2^9977640 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 9977640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303680).

9977640 is an abundant number, since it is smaller than the sum of its proper divisors (22629720).

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

9977640 is a wasteful number, since it uses less digits than its factorization.

9977640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 9977640 is about 3158.7402552283. The cubic root of 9977640 is about 215.2827719719.

The spelling of 9977640 in words is "nine million, nine hundred seventy-seven thousand, six hundred forty".