27146820 has 48 divisors (see below), whose sum is σ = 80015040. Its totient is φ = 6857856.

The previous prime is 27146771. The next prime is 27146837. The reversal of 27146820 is 2864172.

It is a super-2 number, since 2×27146820² = 1473899672224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10767 + ... + 13046.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^27146820 is an apocalyptic number.

27146820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27146820 is an abundant number, since it is smaller than the sum of its proper divisors (52868220).

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

27146820 is a wasteful number, since it uses less digits than its factorization.

27146820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23844 (or 23842 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 27146820 is about 5210.2610299293. The cubic root of 27146820 is about 300.5427950971.

It can be divided in two parts, 27146 and 820, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 27146820 in words is "twenty-seven million, one hundred forty-six thousand, eight hundred twenty".