1002731820 has 48 divisors (see below), whose sum is σ = 2883537888. Its totient is φ = 260167680.

The previous prime is 1002731813. The next prime is 1002731831. The reversal of 1002731820 is 281372001.

It is a super-2 number, since 2×1002731820² = 2010942205681024800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223621 + ... + 228060.

It is an arithmetic number, because the mean of its divisors is an integer number (60073706).

Almost surely, 2^1002731820 is an apocalyptic number.

1002731820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002731820 is an abundant number, since it is smaller than the sum of its proper divisors (1880806068).

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

1002731820 is a wasteful number, since it uses less digits than its factorization.

1002731820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451730 (or 451728 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1002731820 is about 31665.9410092295. The cubic root of 1002731820 is about 1000.9097787183.

The spelling of 1002731820 in words is "one billion, two million, seven hundred thirty-one thousand, eight hundred twenty".