83948670 has 64 divisors (see below), whose sum is σ = 241093440. Its totient is φ = 20663424.

The previous prime is 83948647. The next prime is 83948687. The reversal of 83948670 is 7684938.

It is a happy number.

It is a super-4 number, since 4×83948670⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8449 + ... + 15468.

It is an arithmetic number, because the mean of its divisors is an integer number (3767085).

Almost surely, 2^83948670 is an apocalyptic number.

83948670 is an abundant number, since it is smaller than the sum of its proper divisors (157144770).

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

83948670 is a wasteful number, since it uses less digits than its factorization.

83948670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23946 (or 23940 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83948670 is about 9162.3506809115. The cubic root of 83948670 is about 437.8626891782.

It can be divided in two parts, 83 and 948670, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 83948670 in words is "eighty-three million, nine hundred forty-eight thousand, six hundred seventy".