67652000 has 96 divisors (see below), whose sum is σ = 179144784. Its totient is φ = 24960000.

The previous prime is 67651957. The next prime is 67652033. The reversal of 67652000 is 25676.

It can be written as a sum of positive squares in 8 ways, for example, as 9709456 + 57942544 = 3116^2 + 7612^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 51350 + ... + 52650.

Almost surely, 2^67652000 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 67652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

67652000 is an abundant number, since it is smaller than the sum of its proper divisors (111492784).

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

67652000 is a wasteful number, since it uses less digits than its factorization.

67652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 67652000 is about 8225.0835862014. The cubic root of 67652000 is about 407.4680366865.

Adding to 67652000 its reverse (25676), we get a palindrome (67677676).

The spelling of 67652000 in words is "sixty-seven million, six hundred fifty-two thousand".