25354032 has 80 divisors (see below), whose sum is σ = 73804800. Its totient is φ = 7430400.

The previous prime is 25354019. The next prime is 25354039. The reversal of 25354032 is 23045352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 25353993 and 25354011.

It is not an unprimeable number, because it can be changed into a prime (25354039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15594 + ... + 17142.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^25354032 is an apocalyptic number.

25354032 is a gapful number since it is divisible by the number (22) 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 25354032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36902400).

25354032 is an abundant number, since it is smaller than the sum of its proper divisors (48450768).

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

25354032 is a wasteful number, since it uses less digits than its factorization.

25354032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 25354032 is about 5035.2787410430. The cubic root of 25354032 is about 293.7755703107.

Adding to 25354032 its reverse (23045352), we get a palindrome (48399384).

It can be divided in two parts, 253 and 54032, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 25354032 in words is "twenty-five million, three hundred fifty-four thousand, thirty-two".