25416720 has 240 divisors, whose sum is σ = 102552960. Its totient is φ = 5667840.

The previous prime is 25416697. The next prime is 25416739. The reversal of 25416720 is 2761452.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619900 + ... + 619940.

It is an arithmetic number, because the mean of its divisors is an integer number (427304).

Almost surely, 2^25416720 is an apocalyptic number.

25416720 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 25416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51276480).

25416720 is an abundant number, since it is smaller than the sum of its proper divisors (77136240).

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

25416720 is a wasteful number, since it uses less digits than its factorization.

25416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 25416720 is about 5041.4997768521. The cubic root of 25416720 is about 294.0174916707.

It can be divided in two parts, 2541 and 6720, that added together give a cube (9261 = 21³).

The spelling of 25416720 in words is "twenty-five million, four hundred sixteen thousand, seven hundred twenty".