890451072 has 192 divisors, whose sum is σ = 3056376960. Its totient is φ = 243302400.

The previous prime is 890451071. The next prime is 890451083. The reversal of 890451072 is 270154098.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×890451072² = 1585806223251898368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890451071) 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 23 ways as a sum of consecutive naturals, for example, 183072 + ... + 187872.

It is an arithmetic number, because the mean of its divisors is an integer number (15918630).

Almost surely, 2^890451072 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 890451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528188480).

890451072 is an abundant number, since it is smaller than the sum of its proper divisors (2165925888).

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

890451072 is a wasteful number, since it uses less digits than its factorization.

890451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 890451072 is about 29840.4268065991. The cubic root of 890451072 is about 962.0626483694.

The spelling of 890451072 in words is "eight hundred ninety million, four hundred fifty-one thousand, seventy-two".