83274240 has 160 divisors (see below), whose sum is σ = 304444800. Its totient is φ = 19021824.

The previous prime is 83274229. The next prime is 83274251. The reversal of 83274240 is 4247238.

It is an interprime number because it is at equal distance from previous prime (83274229) and next prime (83274251).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83274198 and 83274207.

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 15 ways as a sum of consecutive naturals, for example, 52986 + ... + 54534.

It is an arithmetic number, because the mean of its divisors is an integer number (1902780).

Almost surely, 2^83274240 is an apocalyptic number.

83274240 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 83274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152222400).

83274240 is an abundant number, since it is smaller than the sum of its proper divisors (221170560).

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

83274240 is a wasteful number, since it uses less digits than its factorization.

83274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 83274240 is about 9125.4720425850. The cubic root of 83274240 is about 436.6869623908.

The spelling of 83274240 in words is "eighty-three million, two hundred seventy-four thousand, two hundred forty".