1378520 has 64 divisors (see below), whose sum is σ = 3659040. Its totient is φ = 460800.

The previous prime is 1378519. The next prime is 1378529. The reversal of 1378520 is 258731.

It is a super-4 number, since 4×1378520⁴ (a number of 26 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1378520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378529) 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, 5600 + ... + 5840.

2^1378520 is an apocalyptic number.

1378520 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 1378520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829520).

1378520 is an abundant number, since it is smaller than the sum of its proper divisors (2280520).

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

1378520 is a wasteful number, since it uses less digits than its factorization.

1378520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1378520 is about 1174.1039136295. The cubic root of 1378520 is about 111.2938134880.

The spelling of 1378520 in words is "one million, three hundred seventy-eight thousand, five hundred twenty".