645292032 has 336 divisors, whose sum is σ = 2231233536. Its totient is φ = 162201600.

The previous prime is 645292019. The next prime is 645292033. The reversal of 645292032 is 230292546.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 645291984 and 645292002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645292033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20815857 + ... + 20815887.

It is an arithmetic number, because the mean of its divisors is an integer number (6640576).

Almost surely, 2^645292032 is an apocalyptic number.

645292032 is a gapful number since it is divisible by the number (62) 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 645292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115616768).

645292032 is an abundant number, since it is smaller than the sum of its proper divisors (1585941504).

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

645292032 is a wasteful number, since it uses less digits than its factorization.

645292032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 645292032 is about 25402.5989221576. The cubic root of 645292032 is about 864.1426376304.

The spelling of 645292032 in words is "six hundred forty-five million, two hundred ninety-two thousand, thirty-two".