980856576 has 216 divisors, whose sum is σ = 3288338144. Its totient is φ = 275374080.

The previous prime is 980856559. The next prime is 980856577. The reversal of 980856576 is 675658089.

980856576 is a `hidden beast` number, since 9 + 8 + 0 + 8 + 565 + 76 = 666.

980856576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980856577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983310 + ... + 984306.

Almost surely, 2^980856576 is an apocalyptic number.

980856576 is a gapful number since it is divisible by the number (96) 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 980856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644169072).

980856576 is an abundant number, since it is smaller than the sum of its proper divisors (2307481568).

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

980856576 is a wasteful number, since it uses less digits than its factorization.

980856576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 980856576 is about 31318.6298550878. The cubic root of 980856576 is about 993.5777010406.

The spelling of 980856576 in words is "nine hundred eighty million, eight hundred fifty-six thousand, five hundred seventy-six".