1500960 has 96 divisors (see below), whose sum is σ = 4898880. Its totient is φ = 386048.

The previous prime is 1500937. The next prime is 1500973. The reversal of 1500960 is 690051.

1500960 = T₂₁₁ + T₂₁₂ + ... + T₂₆₃.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25411 + ... + 25469.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2^1500960 is an apocalyptic number.

1500960 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 1500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440).

1500960 is an abundant number, since it is smaller than the sum of its proper divisors (3397920).

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

1500960 is a wasteful number, since it uses less digits than its factorization.

1500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1500960 is about 1225.1367270636. The cubic root of 1500960 is about 114.4958396180.

It can be divided in two parts, 1500 and 960, that multiplied together give a square (1440000 = 1200²).

The spelling of 1500960 in words is "one million, five hundred thousand, nine hundred sixty".