986152320 has 384 divisors, whose sum is σ = 3749185440. Its totient is φ = 246841344.

The previous prime is 986152309. The next prime is 986152331. The reversal of 986152320 is 23251689.

986152320 is a `hidden beast` number, since 9 + 8 + 615 + 2 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (986152309) and next prime (986152331).

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2643654 + ... + 2644026.

Almost surely, 2^986152320 is an apocalyptic number.

986152320 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 986152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874592720).

986152320 is an abundant number, since it is smaller than the sum of its proper divisors (2763033120).

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

986152320 is a wasteful number, since it uses less digits than its factorization.

986152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 986152320 is about 31403.0622710589. The cubic root of 986152320 is about 995.3626347527.

The spelling of 986152320 in words is "nine hundred eighty-six million, one hundred fifty-two thousand, three hundred twenty".