987392640 has 384 divisors, whose sum is σ = 3628670400. Its totient is φ = 227475456.

The previous prime is 987392633. The next prime is 987392641. The reversal of 987392640 is 46293789.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 987392640.

It is not an unprimeable number, because it can be changed into a prime (987392641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5516071 + ... + 5516249.

Almost surely, 2^987392640 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 987392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814335200).

987392640 is an abundant number, since it is smaller than the sum of its proper divisors (2641277760).

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

987392640 is a wasteful number, since it uses less digits than its factorization.

987392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 987392640 is about 31422.8044579092. The cubic root of 987392640 is about 995.7797613068.

The spelling of 987392640 in words is "nine hundred eighty-seven million, three hundred ninety-two thousand, six hundred forty".