642613248 has 96 divisors (see below), whose sum is σ = 1857261900. Its totient is φ = 214106112.

The previous prime is 642613201. The next prime is 642613249. The reversal of 642613248 is 842316246.

642613248 is a `hidden beast` number, since 642 + 6 + 1 + 3 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642613249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293823 + ... + 296001.

Almost surely, 2^642613248 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 642613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928630950).

642613248 is an abundant number, since it is smaller than the sum of its proper divisors (1214648652).

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

642613248 is an equidigital number, since it uses as much as digits as its factorization.

642613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2184 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 642613248 is about 25349.8175141361. The cubic root of 642613248 is about 862.9452148830.

The spelling of 642613248 in words is "six hundred forty-two million, six hundred thirteen thousand, two hundred forty-eight".