1016624664 has 192 divisors, whose sum is σ = 3170119680. Its totient is φ = 291456000.

The previous prime is 1016624657. The next prime is 1016624681. The reversal of 1016624664 is 4664266101.

1016624664 is a `hidden beast` number, since 10 + 16 + 624 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1016624664² = 2067051414906225792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153504 + ... + 1154384.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^1016624664 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 1016624664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

1016624664 is an abundant number, since it is smaller than the sum of its proper divisors (2153495016).

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

1016624664 is a wasteful number, since it uses less digits than its factorization.

1016624664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1016624664 is about 31884.5521216780. The cubic root of 1016624664 is about 1005.5111263574.

The spelling of 1016624664 in words is "one billion, sixteen million, six hundred twenty-four thousand, six hundred sixty-four".