1979040 has 192 divisors, whose sum is σ = 7741440. Its totient is φ = 414720.

The previous prime is 1979039. The next prime is 1979051. The reversal of 1979040 is 409791.

1979040 = T₂₁₆ + T₂₁₇ + ... + T₂₇₉.

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

It is a junction number, because it is equal to n+sod(n) for n = 1978989 and 1979007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63825 + ... + 63855.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2^1979040 is an apocalyptic number.

1979040 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 1979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

1979040 is an abundant number, since it is smaller than the sum of its proper divisors (5762400).

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

1979040 is a wasteful number, since it uses less digits than its factorization.

1979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1979040 is about 1406.7835654428. The cubic root of 1979040 is about 125.5504260253.

The spelling of 1979040 in words is "one million, nine hundred seventy-nine thousand, forty".