987714000 has 800 divisors, whose sum is σ = 4456548096. Its totient is φ = 205286400.

The previous prime is 987713983. The next prime is 987714023. The reversal of 987714000 is 417789.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14741967 + ... + 14742033.

Almost surely, 2^987714000 is an apocalyptic number.

987714000 is a gapful number since it is divisible by the number (90) 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 987714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228274048).

987714000 is an abundant number, since it is smaller than the sum of its proper divisors (3468834096).

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

987714000 is a wasteful number, since it uses less digits than its factorization.

987714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 987714000 is about 31427.9175256650. The cubic root of 987714000 is about 995.8877794888.

The spelling of 987714000 in words is "nine hundred eighty-seven million, seven hundred fourteen thousand".