67949000 has 128 divisors (see below), whose sum is σ = 192741120. Its totient is φ = 21888000.

The previous prime is 67948961. The next prime is 67949009. The reversal of 67949000 is 94976.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (67949009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118715 + ... + 119285.

It is an arithmetic number, because the mean of its divisors is an integer number (1505790).

Almost surely, 2^67949000 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 67949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96370560).

67949000 is an abundant number, since it is smaller than the sum of its proper divisors (124792120).

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

67949000 is a wasteful number, since it uses less digits than its factorization.

67949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 67949000 is about 8243.1183419868. The cubic root of 67949000 is about 408.0634432932.

The spelling of 67949000 in words is "sixty-seven million, nine hundred forty-nine thousand".