25673700 has 144 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 6074880.

The previous prime is 25673699. The next prime is 25673701. The reversal of 25673700 is 737652.

It is an interprime number because it is at equal distance from previous prime (25673699) and next prime (25673701).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25673701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112987 + ... + 113213.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^25673700 is an apocalyptic number.

25673700 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 25673700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

25673700 is an abundant number, since it is smaller than the sum of its proper divisors (57445980).

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

25673700 is a wasteful number, since it uses less digits than its factorization.

25673700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 25673700 is about 5066.9221426819. The cubic root of 25673700 is about 295.0050750827.

The spelling of 25673700 in words is "twenty-five million, six hundred seventy-three thousand, seven hundred".