1978128 has 80 divisors (see below), whose sum is σ = 6001600. Its totient is φ = 622080.

The previous prime is 1978117. The next prime is 1978153. The reversal of 1978128 is 8218791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1978092 and 1978101.

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, 8088 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (75020).

2^1978128 is an apocalyptic number.

1978128 is a gapful number since it is divisible by the number (18) 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 1978128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000800).

1978128 is an abundant number, since it is smaller than the sum of its proper divisors (4023472).

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

1978128 is a wasteful number, since it uses less digits than its factorization.

1978128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 1978128 is about 1406.4593844118. The cubic root of 1978128 is about 125.5311372823.

The spelling of 1978128 in words is "one million, nine hundred seventy-eight thousand, one hundred twenty-eight".