987949368 has 72 divisors (see below), whose sum is σ = 3112555680. Its totient is φ = 282270240.

The previous prime is 987949367. The next prime is 987949393. The reversal of 987949368 is 863949789.

987949368 is a `hidden beast` number, since 9 + 87 + 9 + 493 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987949363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136488 + ... + 143543.

It is an arithmetic number, because the mean of its divisors is an integer number (43229940).

Almost surely, 2^987949368 is an apocalyptic number.

987949368 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

987949368 is an abundant number, since it is smaller than the sum of its proper divisors (2124606312).

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

987949368 is a wasteful number, since it uses less digits than its factorization.

987949368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280057 (or 280043 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 987949368 is about 31431.6618714315. The cubic root of 987949368 is about 995.9668784650.

The spelling of 987949368 in words is "nine hundred eighty-seven million, nine hundred forty-nine thousand, three hundred sixty-eight".