83997540 has 192 divisors, whose sum is σ = 290304000. Its totient is φ = 19992960.

The previous prime is 83997521. The next prime is 83997553. The reversal of 83997540 is 4579938.

It is a hoax number, since the sum of its digits (45) 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 (45).

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 63 ways as a sum of consecutive naturals, for example, 469171 + ... + 469349.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^83997540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83997540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

83997540 is an abundant number, since it is smaller than the sum of its proper divisors (206306460).

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

83997540 is a wasteful number, since it uses less digits than its factorization.

83997540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 83997540 is about 9165.0171849266. The cubic root of 83997540 is about 437.9476387022.

The spelling of 83997540 in words is "eighty-three million, nine hundred ninety-seven thousand, five hundred forty".