140629632 has 192 divisors, whose sum is σ = 443504160. Its totient is φ = 39137280.

The previous prime is 140629607. The next prime is 140629633. The reversal of 140629632 is 236926041.

140629632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 140629593 and 140629602.

It is not an unprimeable number, because it can be changed into a prime (140629633) 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, 713758 + ... + 713954.

Almost surely, 2^140629632 is an apocalyptic number.

140629632 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 140629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221752080).

140629632 is an abundant number, since it is smaller than the sum of its proper divisors (302874528).

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

140629632 is a wasteful number, since it uses less digits than its factorization.

140629632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 140629632 is about 11858.7365262915. The cubic root of 140629632 is about 520.0266652993.

The spelling of 140629632 in words is "one hundred forty million, six hundred twenty-nine thousand, six hundred thirty-two".