1987620096 has 576 divisors, whose sum is σ = 7299532800. Its totient is φ = 464486400.

The previous prime is 1987620053. The next prime is 1987620101. The reversal of 1987620096 is 6900267891.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32583906 + ... + 32583966.

It is an arithmetic number, because the mean of its divisors is an integer number (12672800).

Almost surely, 2^1987620096 is an apocalyptic number.

1987620096 is a gapful number since it is divisible by the number (16) 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 1987620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649766400).

1987620096 is an abundant number, since it is smaller than the sum of its proper divisors (5311912704).

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

1987620096 is a wasteful number, since it uses less digits than its factorization.

1987620096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1987620096 is about 44582.7331598232. The cubic root of 1987620096 is about 1257.3160505973.

The spelling of 1987620096 in words is "one billion, nine hundred eighty-seven million, six hundred twenty thousand, ninety-six".