1027680 has 48 divisors (see below), whose sum is σ = 3238704. Its totient is φ = 273920.

The previous prime is 1027679. The next prime is 1027687. The reversal of 1027680 is 867201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1027680² = 2112252364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1027680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (67473).

2^1027680 is an apocalyptic number.

1027680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027680 is an abundant number, since it is smaller than the sum of its proper divisors (2211024).

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

1027680 is a wasteful number, since it uses less digits than its factorization.

1027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2151 counting only the distinct ones).

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

The square root of 1027680 is about 1013.7455301998. The cubic root of 1027680 is about 100.9142820743.

The spelling of 1027680 in words is "one million, twenty-seven thousand, six hundred eighty".