891149040 has 120 divisors (see below), whose sum is σ = 3103686768. Its totient is φ = 237634560.

The previous prime is 891149009. The next prime is 891149057. The reversal of 891149040 is 40941198.

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

It is a super-2 number, since 2×891149040² = 1588293222985843200, which contains 22 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 = 891148986 and 891149004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481 + ... + 42360.

Almost surely, 2^891149040 is an apocalyptic number.

891149040 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 891149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551843384).

891149040 is an abundant number, since it is smaller than the sum of its proper divisors (2212537728).

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

891149040 is a wasteful number, since it uses less digits than its factorization.

891149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45869 (or 45851 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 891149040 is about 29852.1195227408. The cubic root of 891149040 is about 962.3139493090.

The spelling of 891149040 in words is "eight hundred ninety-one million, one hundred forty-nine thousand, forty".