891390240 has 288 divisors, whose sum is σ = 3469795056. Its totient is φ = 206438400.

The previous prime is 891390233. The next prime is 891390251. The reversal of 891390240 is 42093198.

It can be written as a sum of positive squares in 8 ways, for example, as 345513744 + 545876496 = 18588^2 + 23364^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×891390240³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 891390195 and 891390204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316840 + ... + 319640.

Almost surely, 2^891390240 is an apocalyptic number.

891390240 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 891390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734897528).

891390240 is an abundant number, since it is smaller than the sum of its proper divisors (2578404816).

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

891390240 is a wasteful number, since it uses less digits than its factorization.

891390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 891390240 is about 29856.1591635629. The cubic root of 891390240 is about 962.4007620179.

The spelling of 891390240 in words is "eight hundred ninety-one million, three hundred ninety thousand, two hundred forty".