987577920 has 280 divisors, whose sum is σ = 4015581504. Its totient is φ = 225690624.

The previous prime is 987577873. The next prime is 987577949. The reversal of 987577920 is 29775789.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178719 + ... + 184161.

Almost surely, 2^987577920 is an apocalyptic number.

987577920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

987577920 is the 18144-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007790752).

987577920 is an abundant number, since it is smaller than the sum of its proper divisors (3028003584).

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

987577920 is a wasteful number, since it uses less digits than its factorization.

987577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 987577920 is about 31425.7524969570. The cubic root of 987577920 is about 995.8420420138.

The spelling of 987577920 in words is "nine hundred eighty-seven million, five hundred seventy-seven thousand, nine hundred twenty".