45320016 has 160 divisors (see below), whose sum is σ = 146022400. Its totient is φ = 11819520.

The previous prime is 45320003. The next prime is 45320029. The reversal of 45320016 is 61002354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45320003) and next prime (45320029).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 45319974 and 45320001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197790 + ... + 198018.

It is an arithmetic number, because the mean of its divisors is an integer number (912640).

Almost surely, 2^45320016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45320016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73011200).

45320016 is an abundant number, since it is smaller than the sum of its proper divisors (100702384).

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

45320016 is a wasteful number, since it uses less digits than its factorization.

45320016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45320016 is about 6732.0142602345. The cubic root of 45320016 is about 356.5304972182.

The spelling of 45320016 in words is "forty-five million, three hundred twenty thousand, sixteen".