83672658 has 48 divisors (see below), whose sum is σ = 188937216. Its totient is φ = 26732160.

The previous prime is 83672653. The next prime is 83672671. The reversal of 83672658 is 85627638.

It is a super-2 number, since 2×83672658² = 14002227393569928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83672653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62391 + ... + 63717.

It is an arithmetic number, because the mean of its divisors is an integer number (3936192).

Almost surely, 2^83672658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83672658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94468608).

83672658 is an abundant number, since it is smaller than the sum of its proper divisors (105264558).

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

83672658 is a wasteful number, since it uses less digits than its factorization.

83672658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1476 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 83672658 is about 9147.2759879649. The cubic root of 83672658 is about 437.3822843025.

It can be divided in two parts, 8367 and 2658, that added together give a square (11025 = 105²).

The spelling of 83672658 in words is "eighty-three million, six hundred seventy-two thousand, six hundred fifty-eight".