1401984 has 48 divisors (see below), whose sum is σ = 4037670. Its totient is φ = 466944.

The previous prime is 1401979. The next prime is 1401989. The reversal of 1401984 is 4891041.

It is an interprime number because it is at equal distance from previous prime (1401979) and next prime (1401989).

It can be written as a sum of positive squares in only one way, i.e., 1272384 + 129600 = 1128^2 + 360^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 544 + ... + 1760.

2^1401984 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 1401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018835).

1401984 is an abundant number, since it is smaller than the sum of its proper divisors (2635686).

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

1401984 is a wasteful number, since it uses less digits than its factorization.

1401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1401984 is about 1184.0540528202. The cubic root of 1401984 is about 111.9217139997.

The spelling of 1401984 in words is "one million, four hundred one thousand, nine hundred eighty-four".