25549680 has 160 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 5944320.

The previous prime is 25549663. The next prime is 25549687. The reversal of 25549680 is 8694552.

25549680 = 878² + 879² + ... + 909².

It is a super-2 number, since 2×25549680² = 1305572296204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25549687) 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 31 ways as a sum of consecutive naturals, for example, 59065 + ... + 59495.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^25549680 is an apocalyptic number.

25549680 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 25549680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

25549680 is an abundant number, since it is smaller than the sum of its proper divisors (64444560).

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

25549680 is a wasteful number, since it uses less digits than its factorization.

25549680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 25549680 is about 5054.6691286374. The cubic root of 25549680 is about 294.5292885781.

The spelling of 25549680 in words is "twenty-five million, five hundred forty-nine thousand, six hundred eighty".