825292640 has 48 divisors (see below), whose sum is σ = 1977242400. Its totient is φ = 325463040.

The previous prime is 825292631. The next prime is 825292651. The reversal of 825292640 is 46292528.

It is a super-2 number, since 2×825292640² = 1362215883276339200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825292594 and 825292603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24965 + ... + 47684.

It is an arithmetic number, because the mean of its divisors is an integer number (41192550).

Almost surely, 2^825292640 is an apocalyptic number.

825292640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825292640 is an abundant number, since it is smaller than the sum of its proper divisors (1151949760).

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

825292640 is a wasteful number, since it uses less digits than its factorization.

825292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72735 (or 72727 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 825292640 is about 28727.9069895459. The cubic root of 825292640 is about 937.9996090214. Note that the first 3 decimals are identical.

The spelling of 825292640 in words is "eight hundred twenty-five million, two hundred ninety-two thousand, six hundred forty".