83674400 has 36 divisors (see below), whose sum is σ = 204272082. Its totient is φ = 33469440.

The previous prime is 83674397. The next prime is 83674411. The reversal of 83674400 is 447638.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 60902416 + 22771984 = 7804^2 + 4772^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51497 + ... + 53096.

Almost surely, 2^83674400 is an apocalyptic number.

83674400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83674400 is an abundant number, since it is smaller than the sum of its proper divisors (120597682).

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

83674400 is a wasteful number, since it uses less digits than its factorization.

83674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104613 (or 104600 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 83674400 is about 9147.3712070736. The cubic root of 83674400 is about 437.3853196017.

The spelling of 83674400 in words is "eighty-three million, six hundred seventy-four thousand, four hundred".