1002624 has 64 divisors (see below), whose sum is σ = 3051840. Its totient is φ = 285696.

The previous prime is 1002623. The next prime is 1002647. The reversal of 1002624 is 4262001.

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

It is not an unprimeable number, because it can be changed into a prime (1002623) 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, 2502 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (47685).

2^1002624 is an apocalyptic number.

1002624 is a gapful number since it is divisible by the number (14) 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 1002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525920).

1002624 is an abundant number, since it is smaller than the sum of its proper divisors (2049216).

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

1002624 is an equidigital number, since it uses as much as digits as its factorization.

1002624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002624 is about 1001.3111404554. The cubic root of 1002624 is about 100.0873902738.

Adding to 1002624 its reverse (4262001), we get a palindrome (5264625).

The spelling of 1002624 in words is "one million, two thousand, six hundred twenty-four".