83771460 has 72 divisors (see below), whose sum is σ = 255045336. Its totient is φ = 22256640.

The previous prime is 83771447. The next prime is 83771473. The reversal of 83771460 is 6417738.

It is an interprime number because it is at equal distance from previous prime (83771447) and next prime (83771473).

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 81108036 = 1632^2 + 9006^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59970 + ... + 61350.

Almost surely, 2^83771460 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 83771460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127522668).

83771460 is an abundant number, since it is smaller than the sum of its proper divisors (171273876).

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

83771460 is a wasteful number, since it uses less digits than its factorization.

83771460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 83771460 is about 9152.6750188128. The cubic root of 83771460 is about 437.5543725620.

The spelling of 83771460 in words is "eighty-three million, seven hundred seventy-one thousand, four hundred sixty".