642624 has 28 divisors (see below), whose sum is σ = 1700784. Its totient is φ = 214144.

The previous prime is 642623. The next prime is 642673. The reversal of 642624 is 426246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 642594 and 642603.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642624.

It is not an unprimeable number, because it can be changed into a prime (642623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1482 + ... + 1865.

2⁶⁴²⁶²⁴ is an apocalyptic number.

642624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

642624 is an abundant number, since it is smaller than the sum of its proper divisors (1058160).

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

642624 is a wasteful number, since it uses less digits than its factorization.

642624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3352 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 642624 is about 801.6383224372. The cubic root of 642624 is about 86.2950027698.

The spelling of 642624 in words is "six hundred forty-two thousand, six hundred twenty-four".