1461024 has 96 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 456192.

The previous prime is 1461001. The next prime is 1461073. The reversal of 1461024 is 4201641.

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

It is a super-2 number, since 2×1461024² = 4269182257152, 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 = 1460988 and 1461006.

It is a congruent number.

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, 16372 + ... + 16460.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2^1461024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

1461024 is an abundant number, since it is smaller than the sum of its proper divisors (3074976).

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

1461024 is a wasteful number, since it uses less digits than its factorization.

1461024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1461024 is about 1208.7282573019. The cubic root of 1461024 is about 113.4712354414.

Adding to 1461024 its reverse (4201641), we get a palindrome (5662665).

The spelling of 1461024 in words is "one million, four hundred sixty-one thousand, twenty-four".