986499072 has 288 divisors, whose sum is σ = 3219652800. Its totient is φ = 288718848.

The previous prime is 986499067. The next prime is 986499109. The reversal of 986499072 is 270994689.

986499072 is a `hidden beast` number, since 9 + 86 + 499 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×986499072² = 1946360838113722368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5511079 + ... + 5511257.

It is an arithmetic number, because the mean of its divisors is an integer number (11179350).

Almost surely, 2^986499072 is an apocalyptic number.

986499072 is a gapful number since it is divisible by the number (92) 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 986499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609826400).

986499072 is an abundant number, since it is smaller than the sum of its proper divisors (2233153728).

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

986499072 is a wasteful number, since it uses less digits than its factorization.

986499072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 986499072 is about 31408.5827760502. The cubic root of 986499072 is about 995.4792845953.

The spelling of 986499072 in words is "nine hundred eighty-six million, four hundred ninety-nine thousand, seventy-two".