82950672 has 80 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 22880256.

The previous prime is 82950631. The next prime is 82950677. The reversal of 82950672 is 27605928.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82950672.

It is not an unprimeable number, because it can be changed into a prime (82950677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5488 + ... + 14000.

It is an arithmetic number, because the mean of its divisors is an integer number (3167208).

Almost surely, 2^82950672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82950672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126688320).

82950672 is an abundant number, since it is smaller than the sum of its proper divisors (170425968).

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

82950672 is a wasteful number, since it uses less digits than its factorization.

82950672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 82950672 is about 9107.7259510813. The cubic root of 82950672 is about 436.1206354737.

The spelling of 82950672 in words is "eighty-two million, nine hundred fifty thousand, six hundred seventy-two".