1614971952 has 160 divisors (see below), whose sum is σ = 5231808000. Its totient is φ = 472469760.

The previous prime is 1614971951. The next prime is 1614971959. The reversal of 1614971952 is 2591794161.

It is a junction number, because it is equal to n+sod(n) for n = 1614971898 and 1614971907.

It is not an unprimeable number, because it can be changed into a prime (1614971951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131949 + ... + 143667.

It is an arithmetic number, because the mean of its divisors is an integer number (32698800).

Almost surely, 2^1614971952 is an apocalyptic number.

1614971952 is a gapful number since it is divisible by the number (12) 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 1614971952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615904000).

1614971952 is an abundant number, since it is smaller than the sum of its proper divisors (3616836048).

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

1614971952 is a wasteful number, since it uses less digits than its factorization.

1614971952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11776 (or 11764 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1614971952 is about 40186.7136252767. The cubic root of 1614971952 is about 1173.2439625743.

The spelling of 1614971952 in words is "one billion, six hundred fourteen million, nine hundred seventy-one thousand, nine hundred fifty-two".