25977000 has 128 divisors (see below), whose sum is σ = 92701440. Its totient is φ = 5932800.

The previous prime is 25976999. The next prime is 25977001. The reversal of 25977000 is 77952.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25976999) and next prime (25977001).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25977001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20382 + ... + 21618.

It is an arithmetic number, because the mean of its divisors is an integer number (724230).

Almost surely, 2^25977000 is an apocalyptic number.

25977000 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 25977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46350720).

25977000 is an abundant number, since it is smaller than the sum of its proper divisors (66724440).

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

25977000 is a wasteful number, since it uses less digits than its factorization.

25977000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 25977000 is about 5096.7636790418. The cubic root of 25977000 is about 296.1622254161.

The spelling of 25977000 in words is "twenty-five million, nine hundred seventy-seven thousand".