83767040 has 72 divisors (see below), whose sum is σ = 229336800. Its totient is φ = 28717056.

The previous prime is 83767037. The next prime is 83767043. The reversal of 83767040 is 4076738.

It is an interprime number because it is at equal distance from previous prime (83767037) and next prime (83767043).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83767043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4286 + ... + 13634.

Almost surely, 2^83767040 is an apocalyptic number.

83767040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114668400).

83767040 is an abundant number, since it is smaller than the sum of its proper divisors (145569760).

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

83767040 is an equidigital number, since it uses as much as digits as its factorization.

83767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 83767040 is about 9152.4335561642. The cubic root of 83767040 is about 437.5466769246.

The spelling of 83767040 in words is "eighty-three million, seven hundred sixty-seven thousand, forty".