26146032 has 80 divisors (see below), whose sum is σ = 76923648. Its totient is φ = 7575040.

The previous prime is 26146031. The next prime is 26146061. The reversal of 26146032 is 23064162.

It is a super-2 number, since 2×26146032² = 1367229978690048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 26145993 and 26146011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26146031) 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, 11068 + ... + 13220.

Almost surely, 2^26146032 is an apocalyptic number.

26146032 is a gapful number since it is divisible by the number (22) 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 26146032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38461824).

26146032 is an abundant number, since it is smaller than the sum of its proper divisors (50777616).

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

26146032 is a wasteful number, since it uses less digits than its factorization.

26146032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 26146032 is about 5113.3190786416. The cubic root of 26146032 is about 296.8032117021.

It can be divided in two parts, 2614 and 6032, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 26146032 in words is "twenty-six million, one hundred forty-six thousand, thirty-two".