1653061632 has 96 divisors (see below), whose sum is σ = 4447956240. Its totient is φ = 545914880.

The previous prime is 1653061609. The next prime is 1653061661. The reversal of 1653061632 is 2361603561.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1653061632² = 5465225518381006848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1653061593 and 1653061602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693082 + ... + 695462.

Almost surely, 2^1653061632 is an apocalyptic number.

1653061632 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 1653061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223978120).

1653061632 is an abundant number, since it is smaller than the sum of its proper divisors (2794894608).

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

1653061632 is a wasteful number, since it uses less digits than its factorization.

1653061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1653061632 is about 40657.8606421932. The cubic root of 1653061632 is about 1182.3961727527.

The spelling of 1653061632 in words is "one billion, six hundred fifty-three million, sixty-one thousand, six hundred thirty-two".