1226720 has 96 divisors (see below), whose sum is σ = 3429216. Its totient is φ = 409600.

The previous prime is 1226713. The next prime is 1226741. The reversal of 1226720 is 276221.

1226720 = T₂₅₆ + T₂₅₇ + ... + T₂₈₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1226692 and 1226701.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29900 + ... + 29940.

It is an arithmetic number, because the mean of its divisors is an integer number (35721).

2^1226720 is an apocalyptic number.

1226720 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 1226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714608).

1226720 is an abundant number, since it is smaller than the sum of its proper divisors (2202496).

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

1226720 is a wasteful number, since it uses less digits than its factorization.

1226720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 1226720 is about 1107.5739252980. The cubic root of 1226720 is about 107.0488029624.

It can be divided in two parts, 122 and 6720, that multiplied together give a triangular number (819840 = T₁₂₈₀).

The spelling of 1226720 in words is "one million, two hundred twenty-six thousand, seven hundred twenty".