971960 has 48 divisors (see below), whose sum is σ = 2437560. Its totient is φ = 345920.

The previous prime is 971959. The next prime is 971977. The reversal of 971960 is 69179.

971960 = T₄ + T₅ + ... + T₁₇₉.

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 11 ways as a sum of consecutive naturals, for example, 20657 + ... + 20703.

2⁹⁷¹⁹⁶⁰ 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 971960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218780).

971960 is an abundant number, since it is smaller than the sum of its proper divisors (1465600).

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

971960 is a wasteful number, since it uses less digits than its factorization.

971960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 971960 is about 985.8803172799. The cubic root of 971960 is about 99.0564586304.

It can be divided in two parts, 9719 and 60, that added together give a palindrome (9779).

The spelling of 971960 in words is "nine hundred seventy-one thousand, nine hundred sixty".