825590016 has 144 divisors (see below), whose sum is σ = 2520824320. Its totient is φ = 266250240.

The previous prime is 825589987. The next prime is 825590021. The reversal of 825590016 is 610095528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212346 + ... + 216198.

Almost surely, 2^825590016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260412160).

825590016 is an abundant number, since it is smaller than the sum of its proper divisors (1695234304).

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

825590016 is a wasteful number, since it uses less digits than its factorization.

825590016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 825590016 is about 28733.0822572170. The cubic root of 825590016 is about 938.1122579825.

The spelling of 825590016 in words is "eight hundred twenty-five million, five hundred ninety thousand, sixteen".