93969920 has 160 divisors (see below), whose sum is σ = 254555136. Its totient is φ = 32972800.

The previous prime is 93969919. The next prime is 93969923. The reversal of 93969920 is 2996939.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93969923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323485 + ... + 1323555.

Almost surely, 2^93969920 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 93969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127277568).

93969920 is an abundant number, since it is smaller than the sum of its proper divisors (160585216).

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

93969920 is a wasteful number, since it uses less digits than its factorization.

93969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 47.

The square root of 93969920 is about 9693.8083331578. The cubic root of 93969920 is about 454.6350896200.

The spelling of 93969920 in words is "ninety-three million, nine hundred sixty-nine thousand, nine hundred twenty".