67792956 has 48 divisors (see below), whose sum is σ = 197218560. Its totient is φ = 17608320.

The previous prime is 67792951. The next prime is 67792961. The reversal of 67792956 is 65929776.

67792956 = T₄₈ + T₄₉ + ... + T₇₄₀.

It is an interprime number because it is at equal distance from previous prime (67792951) and next prime (67792961).

It is a junction number, because it is equal to n+sod(n) for n = 67792899 and 67792908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67792951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35761 + ... + 37608.

It is an arithmetic number, because the mean of its divisors is an integer number (4108720).

Almost surely, 2^67792956 is an apocalyptic number.

67792956 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67792956 is an abundant number, since it is smaller than the sum of its proper divisors (129425604).

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

67792956 is a wasteful number, since it uses less digits than its factorization.

67792956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73394 (or 73392 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 51.

The square root of 67792956 is about 8233.6477942647. The cubic root of 67792956 is about 407.7508330619.

The spelling of 67792956 in words is "sixty-seven million, seven hundred ninety-two thousand, nine hundred fifty-six".