1661010624 has 420 divisors, whose sum is σ = 6180484464. Its totient is φ = 437197824.

The previous prime is 1661010607. The next prime is 1661010667. The reversal of 1661010624 is 4260101661.

1661010624 is a `hidden beast` number, since 16 + 6 + 10 + 10 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3301957 + ... + 3302459.

Almost surely, 2^1661010624 is an apocalyptic number.

1661010624 is a gapful number since it is divisible by the number (14) 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 1661010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090242232).

1661010624 is an abundant number, since it is smaller than the sum of its proper divisors (4519473840).

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

1661010624 is a wasteful number, since it uses less digits than its factorization.

1661010624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1661010624 is about 40755.4980830808. The cubic root of 1661010624 is about 1184.2883854380.

The spelling of 1661010624 in words is "one billion, six hundred sixty-one million, ten thousand, six hundred twenty-four".