1462560 has 96 divisors (see below), whose sum is σ = 5044032. Its totient is φ = 353280.

The previous prime is 1462523. The next prime is 1462567. The reversal of 1462560 is 652641.

1462560 = T₁₂₀ + T₁₂₁ + ... + T₂₁₈.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1462560.

It is not an unprimeable number, because it can be changed into a prime (1462567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5142 + ... + 5418.

It is an arithmetic number, because the mean of its divisors is an integer number (52542).

2^1462560 is an apocalyptic number.

1462560 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 1462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522016).

1462560 is an abundant number, since it is smaller than the sum of its proper divisors (3581472).

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

1462560 is a wasteful number, since it uses less digits than its factorization.

1462560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1462560 is about 1209.3634689373. The cubic root of 1462560 is about 113.5109862770.

The spelling of 1462560 in words is "one million, four hundred sixty-two thousand, five hundred sixty".