6872810 has 32 divisors (see below), whose sum is σ = 14446080. Its totient is φ = 2305152.

The previous prime is 6872807. The next prime is 6872821. The reversal of 6872810 is 182786.

It is a super-2 number, since 2×6872810² = 94471034592200, which contains 22 as substring.

It is a congruent number.

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, 2246 + ... + 4334.

It is an arithmetic number, because the mean of its divisors is an integer number (451440).

Almost surely, 2^6872810 is an apocalyptic number.

6872810 is an abundant number, since it is smaller than the sum of its proper divisors (7573270).

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

6872810 is a wasteful number, since it uses less digits than its factorization.

6872810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150.

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 6872810 is about 2621.6044705485. The cubic root of 6872810 is about 190.1274306735.

Subtracting from 6872810 its sum of digits (32), we obtain a triangular number (6872778 = T₃₇₀₇).

The spelling of 6872810 in words is "six million, eight hundred seventy-two thousand, eight hundred ten".