824903040 has 128 divisors (see below), whose sum is σ = 2831724000. Its totient is φ = 203046912.

The previous prime is 824903029. The next prime is 824903041. The reversal of 824903040 is 40309428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 824902989 and 824903007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824903041) 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, 8436 + ... + 41484.

Almost surely, 2^824903040 is an apocalyptic number.

824903040 is a gapful number since it is divisible by the number (80) 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 824903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415862000).

824903040 is an abundant number, since it is smaller than the sum of its proper divisors (2006820960).

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

824903040 is a wasteful number, since it uses less digits than its factorization.

824903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33084 (or 33072 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 824903040 is about 28721.1253261428. The cubic root of 824903040 is about 937.8519837425.

The spelling of 824903040 in words is "eight hundred twenty-four million, nine hundred three thousand, forty".