980096 has 64 divisors (see below), whose sum is σ = 2284800. Its totient is φ = 414720.

The previous prime is 980081. The next prime is 980107. The reversal of 980096 is 690089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

980096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31601 + ... + 31631.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

2⁹⁸⁰⁰⁹⁶ 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 980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142400).

980096 is an abundant number, since it is smaller than the sum of its proper divisors (1304704).

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

980096 is a wasteful number, since it uses less digits than its factorization.

980096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 980096 is about 989.9979797959. The cubic root of 980096 is about 99.3320821227.

980096 divided by its sum of digits (32) gives a triangular number (30628 = T₂₄₇).

The spelling of 980096 in words is "nine hundred eighty thousand, ninety-six".