25870464 has 96 divisors (see below), whose sum is σ = 78883740. Its totient is φ = 8110080.

The previous prime is 25870463. The next prime is 25870487. The reversal of 25870464 is 46407852.

It can be written as a sum of positive squares in 2 ways, for example, as 21902400 + 3968064 = 4680^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (25870463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18924 + ... + 20244.

Almost surely, 2^25870464 is an apocalyptic number.

25870464 is a gapful number since it is divisible by the number (24) 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 25870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39441870).

25870464 is an abundant number, since it is smaller than the sum of its proper divisors (53013276).

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

25870464 is a wasteful number, since it uses less digits than its factorization.

25870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 25870464 is about 5086.3016033263. The cubic root of 25870464 is about 295.7568004806.

It can be divided in two parts, 25 and 870464, that added together give a square (870489 = 933²).

The spelling of 25870464 in words is "twenty-five million, eight hundred seventy thousand, four hundred sixty-four".