25626480 has 160 divisors (see below), whose sum is σ = 91922688. Its totient is φ = 5836800.

The previous prime is 25626449. The next prime is 25626487. The reversal of 25626480 is 8462652.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25626487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44595 + ... + 45165.

Almost surely, 2^25626480 is an apocalyptic number.

25626480 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 25626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45961344).

25626480 is an abundant number, since it is smaller than the sum of its proper divisors (66296208).

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

25626480 is a wasteful number, since it uses less digits than its factorization.

25626480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 25626480 is about 5062.2603646988. The cubic root of 25626480 is about 294.8241027432.

It can be divided in two parts, 25626 and 480, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 25626480 in words is "twenty-five million, six hundred twenty-six thousand, four hundred eighty".