1945632 has 48 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 598272.

The previous prime is 1945627. The next prime is 1945637. The reversal of 1945632 is 2365491.

It is an interprime number because it is at equal distance from previous prime (1945627) and next prime (1945637).

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

It is a d-powerful number, because it can be written as 1 + 9 + 4⁹ + 5⁵ + 6⁸ + 3⁶ + 2³ .

It is a self number, because there is not a number n which added to its sum of digits gives 1945632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

2^1945632 is an apocalyptic number.

1945632 is a gapful number since it is divisible by the number (12) 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 1945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

1945632 is an abundant number, since it is smaller than the sum of its proper divisors (3558048).

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

1945632 is a wasteful number, since it uses less digits than its factorization.

1945632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1577 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 1945632 is about 1394.8591326725. The cubic root of 1945632 is about 124.8399444786.

The spelling of 1945632 in words is "one million, nine hundred forty-five thousand, six hundred thirty-two".