25634880 has 280 divisors, whose sum is σ = 97365312. Its totient is φ = 6386688.

The previous prime is 25634879. The next prime is 25634887. The reversal of 25634880 is 8843652.

It is a super-2 number, since 2×25634880² = 1314294145228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25634887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596139 + ... + 596181.

Almost surely, 2^25634880 is an apocalyptic number.

25634880 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 25634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48682656).

25634880 is an abundant number, since it is smaller than the sum of its proper divisors (71730432).

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

25634880 is a wasteful number, since it uses less digits than its factorization.

25634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 25634880 is about 5063.0899656238. The cubic root of 25634880 is about 294.8563122900.

The spelling of 25634880 in words is "twenty-five million, six hundred thirty-four thousand, eight hundred eighty".