1461888 has 96 divisors (see below), whose sum is σ = 4455360. Its totient is φ = 476928.

The previous prime is 1461883. The next prime is 1461913. The reversal of 1461888 is 8881641.

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 (36).

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

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31081 + ... + 31127.

It is an arithmetic number, because the mean of its divisors is an integer number (46410).

2^1461888 is an apocalyptic number.

1461888 is a gapful number since it is divisible by the number (18) 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 1461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227680).

1461888 is an abundant number, since it is smaller than the sum of its proper divisors (2993472).

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

1461888 is an frugal number, since it uses more digits than its factorization.

1461888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1461888 is about 1209.0856049098. The cubic root of 1461888 is about 113.4935987126.

It can be divided in two parts, 14618 and 88, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 1461888 in words is "one million, four hundred sixty-one thousand, eight hundred eighty-eight".