891125040 has 320 divisors, whose sum is σ = 3219543936. Its totient is φ = 201916416.

The previous prime is 891125009. The next prime is 891125051. The reversal of 891125040 is 40521198.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 891124989 and 891125007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2810962 + ... + 2811278.

Almost surely, 2^891125040 is an apocalyptic number.

891125040 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 891125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609771968).

891125040 is an abundant number, since it is smaller than the sum of its proper divisors (2328418896).

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

891125040 is a wasteful number, since it uses less digits than its factorization.

891125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 891125040 is about 29851.7175385270. The cubic root of 891125040 is about 962.3053103716.

The spelling of 891125040 in words is "eight hundred ninety-one million, one hundred twenty-five thousand, forty".