67164948 has 18 divisors (see below), whose sum is σ = 169778154. Its totient is φ = 22388304.

The previous prime is 67164947. The next prime is 67164949. The reversal of 67164948 is 84946176.

It is an interprime number because it is at equal distance from previous prime (67164947) and next prime (67164949).

It can be written as a sum of positive squares in only one way, i.e., 63968004 + 3196944 = 7998^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×67164948² = 9022260479685408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67164947) 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, 932811 + ... + 932882.

Almost surely, 2^67164948 is an apocalyptic number.

It is an amenable number.

67164948 is an abundant number, since it is smaller than the sum of its proper divisors (102613206).

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

67164948 is a wasteful number, since it uses less digits than its factorization.

67164948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865703 (or 1865698 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 67164948 is about 8195.4223808172. The cubic root of 67164948 is about 406.4878424853.

It can be divided in two parts, 6716 and 4948, that added together give a square (11664 = 108²).

The spelling of 67164948 in words is "sixty-seven million, one hundred sixty-four thousand, nine hundred forty-eight".