84964950 has 216 divisors, whose sum is σ = 278224752. Its totient is φ = 18895680.

The previous prime is 84964933. The next prime is 84964951. The reversal of 84964950 is 5946948.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 84964896 and 84964905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84964951) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2296332 + ... + 2296368.

Almost surely, 2^84964950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84964950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139112376).

84964950 is an abundant number, since it is smaller than the sum of its proper divisors (193259802).

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

84964950 is an equidigital number, since it uses as much as digits as its factorization.

84964950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 84964950 is about 9217.6434081602. The cubic root of 84964950 is about 439.6225240522.

The spelling of 84964950 in words is "eighty-four million, nine hundred sixty-four thousand, nine hundred fifty".