94920 has 64 divisors (see below), whose sum is σ = 328320. Its totient is φ = 21504.

The previous prime is 94907. The next prime is 94933. The reversal of 94920 is 2949.

94920 = T₁₃ + T₁₄ + ... + T₈₂.

It is an interprime number because it is at equal distance from previous prime (94907) and next prime (94933).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

94920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁹⁴⁹²⁰ 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 94920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160).

94920 is an abundant number, since it is smaller than the sum of its proper divisors (233400).

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

94920 is a wasteful number, since it uses less digits than its factorization.

94920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 94920 is about 308.0908956785. The cubic root of 94920 is about 45.6162146092.

It can be divided in two parts, 949 and 20, that added together give a palindrome (969).

The spelling of 94920 in words is "ninety-four thousand, nine hundred twenty".