83577840 has 40 divisors (see below), whose sum is σ = 259092048. Its totient is φ = 22287360.

The previous prime is 83577839. The next prime is 83577859. The reversal of 83577840 is 4877538.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 83577792 and 83577801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173881 + ... + 174360.

Almost surely, 2^83577840 is an apocalyptic number.

83577840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83577840 is an abundant number, since it is smaller than the sum of its proper divisors (175514208).

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

83577840 is a wasteful number, since it uses less digits than its factorization.

83577840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348257 (or 348251 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 83577840 is about 9142.0916643840. The cubic root of 83577840 is about 437.2170077372.

The spelling of 83577840 in words is "eighty-three million, five hundred seventy-seven thousand, eight hundred forty".