1468896 has 96 divisors (see below), whose sum is σ = 4572288. Its totient is φ = 407040.

The previous prime is 1468889. The next prime is 1468897. The reversal of 1468896 is 6988641.

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

Its product of digits (82944) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13675 + ... + 13781.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2^1468896 is an apocalyptic number.

1468896 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 1468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144).

1468896 is an abundant number, since it is smaller than the sum of its proper divisors (3103392).

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

1468896 is a wasteful number, since it uses less digits than its factorization.

1468896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1468896 is about 1211.9801978580. The cubic root of 1468896 is about 113.6746649266.

The spelling of 1468896 in words is "one million, four hundred sixty-eight thousand, eight hundred ninety-six".