891749040 has 480 divisors, whose sum is σ = 3657265920. Its totient is φ = 177666048.

The previous prime is 891749011. The next prime is 891749063. The reversal of 891749040 is 40947198.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 891748983 and 891749001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2904567 + ... + 2904873.

It is an arithmetic number, because the mean of its divisors is an integer number (7619304).

Almost surely, 2^891749040 is an apocalyptic number.

891749040 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 891749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828632960).

891749040 is an abundant number, since it is smaller than the sum of its proper divisors (2765516880).

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

891749040 is a wasteful number, since it uses less digits than its factorization.

891749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 891749040 is about 29862.1673694325. The cubic root of 891749040 is about 962.5298723511.

The spelling of 891749040 in words is "eight hundred ninety-one million, seven hundred forty-nine thousand, forty".