83940480 has 384 divisors, whose sum is σ = 334152000. Its totient is φ = 19243008.

The previous prime is 83940469. The next prime is 83940487. The reversal of 83940480 is 8404938.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (83940487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422691 + ... + 1422749.

Almost surely, 2^83940480 is an apocalyptic number.

83940480 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 83940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

83940480 is an abundant number, since it is smaller than the sum of its proper divisors (250211520).

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

83940480 is a wasteful number, since it uses less digits than its factorization.

83940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83940480 is about 9161.9037323037. The cubic root of 83940480 is about 437.8484494765.

The spelling of 83940480 in words is "eighty-three million, nine hundred forty thousand, four hundred eighty".