1020186860 has 144 divisors (see below), whose sum is σ = 2748580128. Its totient is φ = 314496000.

The previous prime is 1020186851. The next prime is 1020186863. The reversal of 1020186860 is 686810201.

It is not an unprimeable number, because it can be changed into a prime (1020186863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088312 + ... + 1089248.

It is an arithmetic number, because the mean of its divisors is an integer number (19087362).

Almost surely, 2^1020186860 is an apocalyptic number.

1020186860 is a gapful number since it is divisible by the number (10) 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 1020186860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374290064).

1020186860 is an abundant number, since it is smaller than the sum of its proper divisors (1728393268).

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

1020186860 is a wasteful number, since it uses less digits than its factorization.

1020186860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1020186860 is about 31940.3641181499. The cubic root of 1020186860 is about 1006.6841755844.

The spelling of 1020186860 in words is "one billion, twenty million, one hundred eighty-six thousand, eight hundred sixty".