825929040 has 40 divisors (see below), whose sum is σ = 2560380768. Its totient is φ = 220247680.

The previous prime is 825929021. The next prime is 825929047. The reversal of 825929040 is 40929528.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 825929040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825929047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720446 + ... + 1720925.

Almost surely, 2^825929040 is an apocalyptic number.

825929040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825929040 is an abundant number, since it is smaller than the sum of its proper divisors (1734451728).

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

825929040 is a wasteful number, since it uses less digits than its factorization.

825929040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441387 (or 3441381 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 825929040 is about 28738.9811927980. The cubic root of 825929040 is about 938.2406506228.

The spelling of 825929040 in words is "eight hundred twenty-five million, nine hundred twenty-nine thousand, forty".