84951040 has 120 divisors (see below), whose sum is σ = 219407832. Its totient is φ = 31457280.

The previous prime is 84951037. The next prime is 84951047. The reversal of 84951040 is 4015948.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 82591744 = 1536^2 + 9088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84950993 and 84951011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84951047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392610 + ... + 1392670.

Almost surely, 2^84951040 is an apocalyptic number.

84951040 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 84951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109703916).

84951040 is an abundant number, since it is smaller than the sum of its proper divisors (134456792).

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

84951040 is an equidigital number, since it uses as much as digits as its factorization.

84951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 84951040 is about 9216.8888460261. Note that the first 4 decimals coincide. The cubic root of 84951040 is about 439.5985318725.

Adding to 84951040 its reverse (4015948), we get a palindrome (88966988).

The spelling of 84951040 in words is "eighty-four million, nine hundred fifty-one thousand, forty".