1670415552 has 336 divisors, whose sum is σ = 5547360000. Its totient is φ = 476264448.

The previous prime is 1670415511. The next prime is 1670415553. The reversal of 1670415552 is 2555140761.

1670415552 is a `hidden beast` number, since 1 + 67 + 0 + 41 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1670415553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8393949 + ... + 8394147.

It is an arithmetic number, because the mean of its divisors is an integer number (16510000).

Almost surely, 2^1670415552 is an apocalyptic number.

1670415552 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 1670415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773680000).

1670415552 is an abundant number, since it is smaller than the sum of its proper divisors (3876944448).

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

1670415552 is a wasteful number, since it uses less digits than its factorization.

1670415552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1670415552 is about 40870.7175371316. The cubic root of 1670415552 is about 1186.5193948167.

The spelling of 1670415552 in words is "one billion, six hundred seventy million, four hundred fifteen thousand, five hundred fifty-two".