68892120 has 160 divisors (see below), whose sum is σ = 252735120. Its totient is φ = 16692480.

The previous prime is 68892097. The next prime is 68892121. The reversal of 68892120 is 2129886.

It is a super-2 number, since 2×68892120² = 9492248396188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68892121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34674 + ... + 36606.

Almost surely, 2^68892120 is an apocalyptic number.

68892120 is a gapful number since it is divisible by the number (60) 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 68892120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126367560).

68892120 is an abundant number, since it is smaller than the sum of its proper divisors (183843000).

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

68892120 is a wasteful number, since it uses less digits than its factorization.

68892120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68892120 is about 8300.1277098609. The cubic root of 68892120 is about 409.9427244997.

It can be divided in two parts, 6889 and 2120, that added together give a palindrome (9009).

The spelling of 68892120 in words is "sixty-eight million, eight hundred ninety-two thousand, one hundred twenty".