67315248 has 240 divisors, whose sum is σ = 253483776. Its totient is φ = 16104960.

The previous prime is 67315219. The next prime is 67315249. The reversal of 67315248 is 84251376.

It is a super-2 number, since 2×67315248² = 9062685226603008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67315249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143911 + ... + 144377.

Almost surely, 2^67315248 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 67315248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

67315248 is an abundant number, since it is smaller than the sum of its proper divisors (186168528).

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

67315248 is a wasteful number, since it uses less digits than its factorization.

67315248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 67315248 is about 8204.5870097160. The cubic root of 67315248 is about 406.7908259549.

The spelling of 67315248 in words is "sixty-seven million, three hundred fifteen thousand, two hundred forty-eight".