1461216 has 48 divisors (see below), whose sum is σ = 3967488. Its totient is φ = 470400.

The previous prime is 1461211. The next prime is 1461283. The reversal of 1461216 is 6121641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1461216³ = 9359755665333977088, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1461192 and 1461201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461211) 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, 2731 + ... + 3221.

It is an arithmetic number, because the mean of its divisors is an integer number (82656).

2^1461216 is an apocalyptic number.

1461216 is a gapful number since it is divisible by the number (16) 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 1461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983744).

1461216 is an abundant number, since it is smaller than the sum of its proper divisors (2506272).

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

1461216 is a wasteful number, since it uses less digits than its factorization.

1461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 1461216 is about 1208.8076770107. The cubic root of 1461216 is about 113.4762058190.

Subtracting from 1461216 its sum of digits (21), we obtain a triangular number (1461195 = T₁₇₀₉).

Adding to 1461216 its reverse (6121641), we get a palindrome (7582857).

The spelling of 1461216 in words is "one million, four hundred sixty-one thousand, two hundred sixteen".