1978560 has 112 divisors (see below), whose sum is σ = 7010400. Its totient is φ = 525312.

The previous prime is 1978541. The next prime is 1978567. The reversal of 1978560 is 658791.

1978560 is a `hidden beast` number, since 1 + 97 + 8 + 560 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8526 + ... + 8754.

2^1978560 is an apocalyptic number.

1978560 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 1978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505200).

1978560 is an abundant number, since it is smaller than the sum of its proper divisors (5031840).

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

1978560 is a wasteful number, since it uses less digits than its factorization.

1978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1978560 is about 1406.6129531609. The cubic root of 1978560 is about 125.5402747941.

The spelling of 1978560 in words is "one million, nine hundred seventy-eight thousand, five hundred sixty".