93201920 has 120 divisors (see below), whose sum is σ = 260300304. Its totient is φ = 31911936.

The previous prime is 93201917. The next prime is 93201949. The reversal of 93201920 is 2910239.

93201920 = T₃₂₉ + T₃₃₀ + ... + T₈₄₀.

It is a self number, because there is not a number n which added to its sum of digits gives 93201920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125069 + ... + 125811.

Almost surely, 2^93201920 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 93201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130150152).

93201920 is an abundant number, since it is smaller than the sum of its proper divisors (167098384).

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

93201920 is an equidigital number, since it uses as much as digits as its factorization.

93201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 93201920 is about 9654.1141489005. The cubic root of 93201920 is about 453.3931485856.

The spelling of 93201920 in words is "ninety-three million, two hundred one thousand, nine hundred twenty".