1378920 has 32 divisors (see below), whose sum is σ = 4137120. Its totient is φ = 367680.

The previous prime is 1378907. The next prime is 1378943. The reversal of 1378920 is 298731.

1378920 = T₆₀ + T₆₁ + ... + T₂₀₃.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 5626 + ... + 5865.

It is an arithmetic number, because the mean of its divisors is an integer number (129285).

2^1378920 is an apocalyptic number.

1378920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378920 is an abundant number, since it is smaller than the sum of its proper divisors (2758200).

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

1378920 is a wasteful number, since it uses less digits than its factorization.

1378920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11505 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1378920 is about 1174.2742439482. The cubic root of 1378920 is about 111.3045770170.

The spelling of 1378920 in words is "one million, three hundred seventy-eight thousand, nine hundred twenty".