67649792 has 54 divisors (see below), whose sum is σ = 157111038. Its totient is φ = 28987392.

The previous prime is 67649767. The next prime is 67649797. The reversal of 67649792 is 29794676.

It can be written as a sum of positive squares in only one way, i.e., 66846976 + 802816 = 8176^2 + 896^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67649792.

It is not an unprimeable number, because it can be changed into a prime (67649797) 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, 9848 + ... + 15240.

Almost surely, 2^67649792 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 67649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78555519).

67649792 is an abundant number, since it is smaller than the sum of its proper divisors (89461246).

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

67649792 is an equidigital number, since it uses as much as digits as its factorization.

67649792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5402 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 50.

The square root of 67649792 is about 8224.9493615462. The cubic root of 67649792 is about 407.4636037098.

The spelling of 67649792 in words is "sixty-seven million, six hundred forty-nine thousand, seven hundred ninety-two".