891401040 has 120 divisors (see below), whose sum is σ = 3074622408. Its totient is φ = 231275520.

The previous prime is 891401033. The next prime is 891401081. The reversal of 891401040 is 40104198.

It can be written as a sum of positive squares in 4 ways, for example, as 242985744 + 648415296 = 15588^2 + 25464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×891401040² = 1589191628226163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 891400995 and 891401013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9910 + ... + 43370.

Almost surely, 2^891401040 is an apocalyptic number.

891401040 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 891401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537311204).

891401040 is an abundant number, since it is smaller than the sum of its proper divisors (2183221368).

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

891401040 is a wasteful number, since it uses less digits than its factorization.

891401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33517 (or 33508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 891401040 is about 29856.3400302180. The cubic root of 891401040 is about 962.4046487878.

The spelling of 891401040 in words is "eight hundred ninety-one million, four hundred one thousand, forty".