1967472164 has 96 divisors (see below), whose sum is σ = 4274995200. Its totient is φ = 773815680.

The previous prime is 1967472163. The next prime is 1967472179. The reversal of 1967472164 is 4612747691.

It is a super-2 number, since 2×1967472164² = 7741893432229685792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1967472163) 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, 2774642 + ... + 2775350.

It is an arithmetic number, because the mean of its divisors is an integer number (44531200).

Almost surely, 2^1967472164 is an apocalyptic number.

1967472164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1967472164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137497600).

1967472164 is an abundant number, since it is smaller than the sum of its proper divisors (2307523036).

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

1967472164 is a wasteful number, since it uses less digits than its factorization.

1967472164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 911 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The square root of 1967472164 is about 44356.1964555123. The cubic root of 1967472164 is about 1253.0532643094.

The spelling of 1967472164 in words is "one billion, nine hundred sixty-seven million, four hundred seventy-two thousand, one hundred sixty-four".