825727644 has 72 divisors (see below), whose sum is σ = 2388145760. Its totient is φ = 235654272.

The previous prime is 825727589. The next prime is 825727649. The reversal of 825727644 is 446727528.

It is a happy number.

825727644 is a `hidden beast` number, since 8 + 2 + 572 + 76 + 4 + 4 = 666.

It is a super-2 number, since 2×825727644² = 1363652284131581472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825727644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825727649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358962 + ... + 361254.

Almost surely, 2^825727644 is an apocalyptic number.

825727644 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

825727644 is an abundant number, since it is smaller than the sum of its proper divisors (1562418116).

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

825727644 is a wasteful number, since it uses less digits than its factorization.

825727644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3734 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 825727644 is about 28735.4770971355. The cubic root of 825727644 is about 938.1643836694.

The spelling of 825727644 in words is "eight hundred twenty-five million, seven hundred twenty-seven thousand, six hundred forty-four".