890538816 has 112 divisors (see below), whose sum is σ = 2505821760. Its totient is φ = 278323200.

The previous prime is 890538811. The next prime is 890538821. The reversal of 890538816 is 618835098.

It is an interprime number because it is at equal distance from previous prime (890538811) and next prime (890538821).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890538811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367240 + ... + 369656.

Almost surely, 2^890538816 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 890538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252910880).

890538816 is an abundant number, since it is smaller than the sum of its proper divisors (1615282944).

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

890538816 is a wasteful number, since it uses less digits than its factorization.

890538816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 890538816 is about 29841.8969906405. The cubic root of 890538816 is about 962.0942475050.

The spelling of 890538816 in words is "eight hundred ninety million, five hundred thirty-eight thousand, eight hundred sixteen".