987045840 has 240 divisors, whose sum is σ = 3829415616. Its totient is φ = 225177600.

The previous prime is 987045833. The next prime is 987045841. The reversal of 987045840 is 48540789.

987045840 is a `hidden beast` number, since 98 + 70 + 458 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×987045840² = 1948518980522611200, which contains 22 as substring.

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 (987045841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130975 + ... + 138305.

Almost surely, 2^987045840 is an apocalyptic number.

987045840 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 987045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914707808).

987045840 is an abundant number, since it is smaller than the sum of its proper divisors (2842369776).

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

987045840 is a wasteful number, since it uses less digits than its factorization.

987045840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7369 counting only the distinct ones).

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

The square root of 987045840 is about 31417.2856879776. The cubic root of 987045840 is about 995.6631657244.

The spelling of 987045840 in words is "nine hundred eighty-seven million, forty-five thousand, eight hundred forty".