9960951 has 64 divisors (see below), whose sum is σ = 18579456. Its totient is φ = 4579200.

The previous prime is 9960947. The next prime is 9960961. The reversal of 9960951 is 1590699.

It is not a de Polignac number, because 9960951 - 2² = 9960947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93040 + ... + 93146.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 2^9960951 is an apocalyptic number.

9960951 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9960951 is a deficient number, since it is larger than the sum of its proper divisors (8618505).

9960951 is a wasteful number, since it uses less digits than its factorization.

9960951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 9960951 is about 3156.0974319561. The cubic root of 9960951 is about 215.1626747936.

The spelling of 9960951 in words is "nine million, nine hundred sixty thousand, nine hundred fifty-one".