986145030 has 384 divisors, whose sum is σ = 3170119680. Its totient is φ = 218350080.

The previous prime is 986145019. The next prime is 986145067. The reversal of 986145030 is 30541689.

986145030 is a `hidden beast` number, since 9 + 8 + 614 + 5 + 0 + 30 = 666.

It is a super-3 number, since 3×986145030³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18606484 + ... + 18606536.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^986145030 is an apocalyptic number.

986145030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 986145030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

986145030 is an abundant number, since it is smaller than the sum of its proper divisors (2183974650).

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

986145030 is a wasteful number, since it uses less digits than its factorization.

986145030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

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

The square root of 986145030 is about 31402.9461993616. The cubic root of 986145030 is about 995.3601820513.

The spelling of 986145030 in words is "nine hundred eighty-six million, one hundred forty-five thousand, thirty".