1407648 has 96 divisors (see below), whose sum is σ = 4257792. Its totient is φ = 403200.

The previous prime is 1407647. The next prime is 1407661. The reversal of 1407648 is 8467041.

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

It is not an unprimeable number, because it can be changed into a prime (1407647) 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, 32715 + ... + 32757.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2^1407648 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 1407648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128896).

1407648 is an abundant number, since it is smaller than the sum of its proper divisors (2850144).

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

1407648 is a wasteful number, since it uses less digits than its factorization.

1407648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1407648 is about 1186.4434246942. The cubic root of 1407648 is about 112.0722323167.

The spelling of 1407648 in words is "one million, four hundred seven thousand, six hundred forty-eight".