15540948 has 18 divisors (see below), whose sum is σ = 39284154. Its totient is φ = 5180304.

The previous prime is 15540947. The next prime is 15540961. The reversal of 15540948 is 84904551.

15540948 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14653584 + 887364 = 3828^2 + 942^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 431693 = 15540948 / (1 + 5 + 5 + 4 + 0 + 9 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15540947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215811 + ... + 215882.

It is an arithmetic number, because the mean of its divisors is an integer number (2182453).

Almost surely, 2^15540948 is an apocalyptic number.

15540948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15540948 is an abundant number, since it is smaller than the sum of its proper divisors (23743206).

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

15540948 is a wasteful number, since it uses less digits than its factorization.

15540948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431703 (or 431698 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 15540948 is about 3942.2009081223. The cubic root of 15540948 is about 249.5509164455.

The spelling of 15540948 in words is "fifteen million, five hundred forty thousand, nine hundred forty-eight".