1604877948 has 72 divisors (see below), whose sum is σ = 4286541168. Its totient is φ = 524848896.

The previous prime is 1604877943. The next prime is 1604877961. The reversal of 1604877948 is 8497784061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1604877894 and 1604877903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604877943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35940 + ... + 67092.

It is an arithmetic number, because the mean of its divisors is an integer number (59535294).

Almost surely, 2^1604877948 is an apocalyptic number.

1604877948 is a gapful number since it is divisible by the number (18) 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 1604877948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143270584).

1604877948 is an abundant number, since it is smaller than the sum of its proper divisors (2681663220).

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

1604877948 is a wasteful number, since it uses less digits than its factorization.

1604877948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31225 (or 31211 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1604877948 is about 40060.9279473154. The cubic root of 1604877948 is about 1170.7944899643.

The spelling of 1604877948 in words is "one billion, six hundred four million, eight hundred seventy-seven thousand, nine hundred forty-eight".