67252640 has 192 divisors, whose sum is σ = 203212800. Its totient is φ = 20459520.

The previous prime is 67252639. The next prime is 67252687. The reversal of 67252640 is 4625276.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 67252597 and 67252606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451286 + ... + 451434.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^67252640 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 67252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

67252640 is an abundant number, since it is smaller than the sum of its proper divisors (135960160).

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

67252640 is a wasteful number, since it uses less digits than its factorization.

67252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 67252640 is about 8200.7706954895. The cubic root of 67252640 is about 406.6646719721.

The spelling of 67252640 in words is "sixty-seven million, two hundred fifty-two thousand, six hundred forty".