26145120 has 48 divisors (see below), whose sum is σ = 82358640. Its totient is φ = 6971904.

The previous prime is 26145073. The next prime is 26145127. The reversal of 26145120 is 2154162.

26145120 = 111² + 112² + ... + 430².

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26145127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26755 + ... + 27714.

It is an arithmetic number, because the mean of its divisors is an integer number (1715805).

Almost surely, 2^26145120 is an apocalyptic number.

26145120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26145120 is an abundant number, since it is smaller than the sum of its proper divisors (56213520).

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

26145120 is a wasteful number, since it uses less digits than its factorization.

26145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54487 (or 54479 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 26145120 is about 5113.2298989973. The cubic root of 26145120 is about 296.7997607300.

Adding to 26145120 its reverse (2154162), we get a palindrome (28299282).

The spelling of 26145120 in words is "twenty-six million, one hundred forty-five thousand, one hundred twenty".