1045632 has 64 divisors (see below), whose sum is σ = 3182400. Its totient is φ = 297984.

The previous prime is 1045621. The next prime is 1045633. The reversal of 1045632 is 2365401.

It is a happy number.

1045632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1045599 and 1045608.

It is not an unprimeable number, because it can be changed into a prime (1045633) 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, 2494 + ... + 2882.

It is an arithmetic number, because the mean of its divisors is an integer number (49725).

2^1045632 is an apocalyptic number.

1045632 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 1045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591200).

1045632 is an abundant number, since it is smaller than the sum of its proper divisors (2136768).

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

1045632 is an equidigital number, since it uses as much as digits as its factorization.

1045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1045632 is about 1022.5614895937. The cubic root of 1045632 is about 101.4984994965.

The spelling of 1045632 in words is "one million, forty-five thousand, six hundred thirty-two".