1461880 has 64 divisors (see below), whose sum is σ = 3939840. Its totient is φ = 477312.

The previous prime is 1461877. The next prime is 1461883. The reversal of 1461880 is 881641.

1461880 = T₇₁ + T₇₂ + ... + T₂₀₈.

It is an interprime number because it is at equal distance from previous prime (1461877) and next prime (1461883).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6327 + ... + 6553.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2^1461880 is an apocalyptic number.

1461880 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 1461880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969920).

1461880 is an abundant number, since it is smaller than the sum of its proper divisors (2477960).

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

1461880 is a wasteful number, since it uses less digits than its factorization.

1461880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1461880 is about 1209.0822966200. The cubic root of 1461880 is about 113.4933916857.

The spelling of 1461880 in words is "one million, four hundred sixty-one thousand, eight hundred eighty".