982537920 has 672 divisors, whose sum is σ = 4366881792. Its totient is φ = 197074944.

The previous prime is 982537877. The next prime is 982537921. The reversal of 982537920 is 29735289.

982537920 is a `hidden beast` number, since 98 + 2 + 537 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982537921) 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, 6027759 + ... + 6027921.

It is an arithmetic number, because the mean of its divisors is an integer number (6498336).

Almost surely, 2^982537920 is an apocalyptic number.

982537920 is a gapful number since it is divisible by the number (90) 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 982537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183440896).

982537920 is an abundant number, since it is smaller than the sum of its proper divisors (3384343872).

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

982537920 is a wasteful number, since it uses less digits than its factorization.

982537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 982537920 is about 31345.4609154180. The cubic root of 982537920 is about 994.1450936401.

The spelling of 982537920 in words is "nine hundred eighty-two million, five hundred thirty-seven thousand, nine hundred twenty".