10629864 has 144 divisors (see below), whose sum is σ = 35212320. Its totient is φ = 2882880.

The previous prime is 10629859. The next prime is 10629877. The reversal of 10629864 is 46892601.

It is a super-3 number, since 3×10629864³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81079 + ... + 81209.

It is an arithmetic number, because the mean of its divisors is an integer number (244530).

Almost surely, 2^10629864 is an apocalyptic number.

10629864 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 10629864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606160).

10629864 is an abundant number, since it is smaller than the sum of its proper divisors (24582456).

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

10629864 is a wasteful number, since it uses less digits than its factorization.

10629864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10629864 is about 3260.3472207727. The cubic root of 10629864 is about 219.8750254384.

The spelling of 10629864 in words is "ten million, six hundred twenty-nine thousand, eight hundred sixty-four".