986540352 has 112 divisors (see below), whose sum is σ = 2995525632. Its totient is φ = 280696320.

The previous prime is 986540351. The next prime is 986540353. The reversal of 986540352 is 253045689.

It is an interprime number because it is at equal distance from previous prime (986540351) and next prime (986540353).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×986540352² = 1946523732248567808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986540351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352077 + ... + 354867.

Almost surely, 2^986540352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497762816).

986540352 is an abundant number, since it is smaller than the sum of its proper divisors (2008985280).

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

986540352 is a wasteful number, since it uses less digits than its factorization.

986540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 986540352 is about 31409.2399143946. The cubic root of 986540352 is about 995.4931696605.

The spelling of 986540352 in words is "nine hundred eighty-six million, five hundred forty thousand, three hundred fifty-two".