1525320 has 96 divisors (see below), whose sum is σ = 5241600. Its totient is φ = 383616.

The previous prime is 1525297. The next prime is 1525331. The reversal of 1525320 is 235251.

It is a happy number.

It is a super-2 number, since 2×1525320² = 4653202204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1525293 and 1525302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6729 + ... + 6951.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2^1525320 is an apocalyptic number.

1525320 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 1525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620800).

1525320 is an abundant number, since it is smaller than the sum of its proper divisors (3716280).

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

1525320 is a wasteful number, since it uses less digits than its factorization.

1525320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1525320 is about 1235.0384609396. The cubic root of 1525320 is about 115.1119263166. Note that the first 3 decimals are identical.

The spelling of 1525320 in words is "one million, five hundred twenty-five thousand, three hundred twenty".