969920 has 56 divisors (see below), whose sum is σ = 2645664. Its totient is φ = 331776.

The previous prime is 969919. The next prime is 969923. The reversal of 969920 is 29969.

969920 = T₈₀ + T₈₁ + ... + T₁₈₄.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 969920.

It is not an unprimeable number, because it can be changed into a prime (969923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2024 + ... + 2456.

It is an arithmetic number, because the mean of its divisors is an integer number (47244).

2⁹⁶⁹⁹²⁰ 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 969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322832).

969920 is an abundant number, since it is smaller than the sum of its proper divisors (1675744).

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

969920 is a wasteful number, since it uses less digits than its factorization.

969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 969920 is about 984.8451654956. The cubic root of 969920 is about 98.9871084802.

The spelling of 969920 in words is "nine hundred sixty-nine thousand, nine hundred twenty".