980083104 has 576 divisors, whose sum is σ = 3706601472. Its totient is φ = 222566400.

The previous prime is 980083103. The next prime is 980083123. The reversal of 980083104 is 401380089.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980083103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20852809 + ... + 20852855.

It is an arithmetic number, because the mean of its divisors is an integer number (6435072).

Almost surely, 2^980083104 is an apocalyptic number.

980083104 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736).

980083104 is an abundant number, since it is smaller than the sum of its proper divisors (2726518368).

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

980083104 is a wasteful number, since it uses less digits than its factorization.

980083104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 980083104 is about 31306.2789868103. The cubic root of 980083104 is about 993.3164645374.

The spelling of 980083104 in words is "nine hundred eighty million, eighty-three thousand, one hundred four".