987462072 has 72 divisors (see below), whose sum is σ = 2822615640. Its totient is φ = 311821920.

The previous prime is 987462071. The next prime is 987462101. The reversal of 987462072 is 270264789.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987462071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6997 + ... + 44987.

It is an arithmetic number, because the mean of its divisors is an integer number (39202995).

Almost surely, 2^987462072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987462072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411307820).

987462072 is an abundant number, since it is smaller than the sum of its proper divisors (1835153568).

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

987462072 is a wasteful number, since it uses less digits than its factorization.

987462072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38041 (or 38015 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 987462072 is about 31423.9092412131. The cubic root of 987462072 is about 995.8031013497.

The spelling of 987462072 in words is "nine hundred eighty-seven million, four hundred sixty-two thousand, seventy-two".