1516120 has 32 divisors (see below), whose sum is σ = 3531600. Its totient is φ = 585088.

The previous prime is 1516103. The next prime is 1516127. The reversal of 1516120 is 216151.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1516094 and 1516103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507 + ... + 1813.

2^1516120 is an apocalyptic number.

1516120 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 1516120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765800).

1516120 is an abundant number, since it is smaller than the sum of its proper divisors (2015480).

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

1516120 is a wasteful number, since it uses less digits than its factorization.

1516120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1516120 is about 1231.3082473532. The cubic root of 1516120 is about 114.8800261094.

It can be divided in two parts, 151 and 6120, that multiplied together give a triangular number (924120 = T₁₃₅₉).

The spelling of 1516120 in words is "one million, five hundred sixteen thousand, one hundred twenty".