1662253560 has 192 divisors, whose sum is σ = 5950039680. Its totient is φ = 399102720.

The previous prime is 1662253547. The next prime is 1662253561. The reversal of 1662253560 is 653522661.

It is a happy number.

1662253560 is a `hidden beast` number, since 1 + 6 + 62 + 2 + 535 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662253561) 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, 421759 + ... + 425681.

It is an arithmetic number, because the mean of its divisors is an integer number (30989790).

Almost surely, 2^1662253560 is an apocalyptic number.

1662253560 is a gapful number since it is divisible by the number (10) 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 1662253560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975019840).

1662253560 is an abundant number, since it is smaller than the sum of its proper divisors (4287786120).

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

1662253560 is a wasteful number, since it uses less digits than its factorization.

1662253560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1662253560 is about 40770.7439225727. The cubic root of 1662253560 is about 1184.5837132011.

The spelling of 1662253560 in words is "one billion, six hundred sixty-two million, two hundred fifty-three thousand, five hundred sixty".