7486920 has 96 divisors (see below), whose sum is σ = 27817920. Its totient is φ = 1710720.

The previous prime is 7486907. The next prime is 7486933. The reversal of 7486920 is 296847.

It is an interprime number because it is at equal distance from previous prime (7486907) and next prime (7486933).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (289770).

Almost surely, 2^7486920 is an apocalyptic number.

7486920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7486920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13908960).

7486920 is an abundant number, since it is smaller than the sum of its proper divisors (20331000).

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

7486920 is a wasteful number, since it uses less digits than its factorization.

7486920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7486920 is about 2736.2236750675. The cubic root of 7486920 is about 195.6295236903.

The spelling of 7486920 in words is "seven million, four hundred eighty-six thousand, nine hundred twenty".