7461948 has 48 divisors (see below), whose sum is σ = 19367936. Its totient is φ = 2220480.

The previous prime is 7461943. The next prime is 7461983. The reversal of 7461948 is 8491647.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4065 + ... + 5607.

Almost surely, 2^7461948 is an apocalyptic number.

7461948 is a gapful number since it is divisible by the number (78) 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 7461948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683968).

7461948 is an abundant number, since it is smaller than the sum of its proper divisors (11905988).

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

7461948 is a wasteful number, since it uses less digits than its factorization.

7461948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1592 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7461948 is about 2731.6566402094. The cubic root of 7461948 is about 195.4117794104.

The spelling of 7461948 in words is "seven million, four hundred sixty-one thousand, nine hundred forty-eight".