26142480 has 480 divisors, whose sum is σ = 118742400. Its totient is φ = 5225472.

The previous prime is 26142469. The next prime is 26142503. The reversal of 26142480 is 8424162.

26142480 is a `hidden beast` number, since 2 + 614 + 2 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375911 + ... + 1375929.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^26142480 is an apocalyptic number.

26142480 is a gapful number since it is divisible by the number (20) 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 26142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

26142480 is an abundant number, since it is smaller than the sum of its proper divisors (92599920).

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

26142480 is a wasteful number, since it uses less digits than its factorization.

26142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 26142480 is about 5112.9717386272. The cubic root of 26142480 is about 296.7897706217.

The spelling of 26142480 in words is "twenty-six million, one hundred forty-two thousand, four hundred eighty".