83467440 has 120 divisors (see below), whose sum is σ = 320375328. Its totient is φ = 19077120.

The previous prime is 83467427. The next prime is 83467453. The reversal of 83467440 is 4476438.

It is an interprime number because it is at equal distance from previous prime (83467427) and next prime (83467453).

It is a tau number, because it is divible by the number of its divisors (120).

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 a junction number, because it is equal to n+sod(n) for n = 83467395 and 83467404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3241 + ... + 13320.

Almost surely, 2^83467440 is an apocalyptic number.

83467440 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 83467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160187664).

83467440 is an abundant number, since it is smaller than the sum of its proper divisors (236907888).

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

83467440 is a wasteful number, since it uses less digits than its factorization.

83467440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16587 (or 16578 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 83467440 is about 9136.0516636017. The cubic root of 83467440 is about 437.0244127208.

The spelling of 83467440 in words is "eighty-three million, four hundred sixty-seven thousand, four hundred forty".