67922976 has 96 divisors (see below), whose sum is σ = 196390656. Its totient is φ = 20384000.

The previous prime is 67922969. The next prime is 67922993.

67922976 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×67922976² = 9227061337393152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138091 + ... + 138581.

It is an arithmetic number, because the mean of its divisors is an integer number (2045736).

Almost surely, 2^67922976 is an apocalyptic number.

67922976 is a gapful number since it is divisible by the number (66) 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 67922976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98195328).

67922976 is an abundant number, since it is smaller than the sum of its proper divisors (128467680).

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

67922976 is a wasteful number, since it uses less digits than its factorization.

67922976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 67922976 is about 8241.5396619806. The cubic root of 67922976 is about 408.0113414763.

The spelling of 67922976 in words is "sixty-seven million, nine hundred twenty-two thousand, nine hundred seventy-six".