1987506720 has 576 divisors, whose sum is σ = 7766793216. Its totient is φ = 477757440.

The previous prime is 1987506713. The next prime is 1987506733. The reversal of 1987506720 is 276057891.

1987506720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20489712 + ... + 20489808.

It is an arithmetic number, because the mean of its divisors is an integer number (13484016).

Almost surely, 2^1987506720 is an apocalyptic number.

1987506720 is a gapful number since it is divisible by the number (10) 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 1987506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883396608).

1987506720 is an abundant number, since it is smaller than the sum of its proper divisors (5779286496).

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

1987506720 is a wasteful number, since it uses less digits than its factorization.

1987506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1987506720 is about 44581.4616180313. The cubic root of 1987506720 is about 1257.2921439203.

The spelling of 1987506720 in words is "one billion, nine hundred eighty-seven million, five hundred six thousand, seven hundred twenty".