982578240 has 672 divisors, whose sum is σ = 4245156864. Its totient is φ = 203489280.

The previous prime is 982578169. The next prime is 982578241. The reversal of 982578240 is 42875289.

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 not an unprimeable number, because it can be changed into a prime (982578241) 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, 16107810 + ... + 16107870.

Almost surely, 2^982578240 is an apocalyptic number.

982578240 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 982578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122578432).

982578240 is an abundant number, since it is smaller than the sum of its proper divisors (3262578624).

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

982578240 is a wasteful number, since it uses less digits than its factorization.

982578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 982578240 is about 31346.1040641417. The cubic root of 982578240 is about 994.1586922270.

The spelling of 982578240 in words is "nine hundred eighty-two million, five hundred seventy-eight thousand, two hundred forty".