83952260 has 96 divisors (see below), whose sum is σ = 218077440. Its totient is φ = 26500608.

The previous prime is 83952257. The next prime is 83952269. The reversal of 83952260 is 6225938.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 83952260.

It is not an unprimeable number, because it can be changed into a prime (83952269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97994 + ... + 98846.

It is an arithmetic number, because the mean of its divisors is an integer number (2271640).

Almost surely, 2^83952260 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 83952260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109038720).

83952260 is an abundant number, since it is smaller than the sum of its proper divisors (134125180).

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

83952260 is a wasteful number, since it uses less digits than its factorization.

83952260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 83952260 is about 9162.5465892404. The cubic root of 83952260 is about 437.8689307090.

The spelling of 83952260 in words is "eighty-three million, nine hundred fifty-two thousand, two hundred sixty".