1537920 has 128 divisors (see below), whose sum is σ = 5508000. Its totient is φ = 405504.

The previous prime is 1537897. The next prime is 1537933. The reversal of 1537920 is 297351.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17236 + ... + 17324.

2^1537920 is an apocalyptic number.

1537920 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 1537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754000).

1537920 is an abundant number, since it is smaller than the sum of its proper divisors (3970080).

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

1537920 is an equidigital number, since it uses as much as digits as its factorization.

1537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1537920 is about 1240.1290255453. The cubic root of 1537920 is about 115.4280205929.

The spelling of 1537920 in words is "one million, five hundred thirty-seven thousand, nine hundred twenty".